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1029914496 = 27321368771
BaseRepresentation
bin111101011000110…
…011111110000000
32122202222002002100
4331120303332000
54102124230441
6250110350400
734344062112
oct7530637600
92582862070
101029914496
114893a6006
12248abb400
131354b2280
149aad73b2
156063ecb6
hex3d633f80

1029914496 has 96 divisors (see below), whose sum is σ = 3191708520. Its totient is φ = 316892160.

The previous prime is 1029914491. The next prime is 1029914507. The reversal of 1029914496 is 6944199201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029914491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19410 + ... + 49361.

Almost surely, 21029914496 is an apocalyptic number.

1029914496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1029914496 is an abundant number, since it is smaller than the sum of its proper divisors (2161794024).

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

1029914496 is a wasteful number, since it uses less digits than its factorization.

1029914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68804 (or 68789 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1029914496 is about 32092.2809410612. The cubic root of 1029914496 is about 1009.8736880892.

The spelling of 1029914496 in words is "one billion, twenty-nine million, nine hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 68771 137542 206313 275084 412626 550168 618939 825252 894023 1100336 1237878 1650504 1788046 2200672 2475756 2682069 3301008 3576092 4401344 4951512 5364138 6602016 7152184 8046207 8802688 9903024 10728276 13204032 14304368 16092414 19806048 21456552 26408064 28608736 32184828 39612096 42913104 57217472 64369656 79224192 85826208 114434944 128739312 171652416 257478624 343304832 514957248 1029914496