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1016196480 = 273251341331
BaseRepresentation
bin111100100100011…
…110110110000000
32121211011010111200
4330210132312000
54040121241410
6244500341200
734116345645
oct7444366600
92554133450
101016196480
11481686502
122443a4800
131326bb2c0
1498d65dcc
155e3303c0
hex3c91ed80

1016196480 has 384 divisors, whose sum is σ = 3882846240. Its totient is φ = 243302400.

The previous prime is 1016196479. The next prime is 1016196481. The reversal of 1016196480 is 846916101.

It is a happy number.

1016196480 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 9 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1016196479) and next prime (1016196481).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016196481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3069915 + ... + 3070245.

Almost surely, 21016196480 is an apocalyptic number.

1016196480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941423120).

1016196480 is an abundant number, since it is smaller than the sum of its proper divisors (2866649760).

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

1016196480 is a wasteful number, since it uses less digits than its factorization.

1016196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1016196480 is about 31877.8368149409. The cubic root of 1016196480 is about 1005.3699388076.

The spelling of 1016196480 in words is "one billion, sixteen million, one hundred ninety-six thousand, four hundred eighty".