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2078282016 = 253319126601
BaseRepresentation
bin111101111100000…
…0001000100100000
312100211122122222000
41323320001010200
513224020011031
6542120444000
7102334051146
oct17370010440
95324578860
102078282016
11977155048
124a0019600
13271755795
1415a035596
15c26c73e6
hex7be01120

2078282016 has 96 divisors (see below), whose sum is σ = 6380740800. Its totient is φ = 656294400.

The previous prime is 2078281999. The next prime is 2078282023. The reversal of 2078282016 is 6102828702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20782820162 = 8638512276058048512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46885 + ... + 79716.

It is an arithmetic number, because the mean of its divisors is an integer number (66466050).

Almost surely, 22078282016 is an apocalyptic number.

It is an amenable number.

2078282016 is an abundant number, since it is smaller than the sum of its proper divisors (4302458784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2078282016 is a wasteful number, since it uses less digits than its factorization.

2078282016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126639 (or 126625 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2078282016 is about 45588.1784676686. The cubic root of 2078282016 is about 1276.1493193706.

The spelling of 2078282016 in words is "two billion, seventy-eight million, two hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 126601 253202 379803 506404 759606 1012808 1139409 1519212 2025616 2278818 2405419 3038424 3418227 4051232 4557636 4810838 6076848 6836454 7216257 9115272 9621676 12153696 13672908 14432514 18230544 19243352 21648771 27345816 28865028 36461088 38486704 43297542 54691632 57730056 64946313 76973408 86595084 109383264 115460112 129892626 173190168 230920224 259785252 346380336 519570504 692760672 1039141008 2078282016