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2996416392256 = 2672309112
BaseRepresentation
bin101011100110101000010…
…101011010110001000000
3101121110021102002010210101
4223212220111122301000
5343043130044023011
610212311254212144
7426324664044100
oct53465025326100
911543242063711
102996416392256
11a55855a34191
12404885954054
1318973a26c051
14a5054db3200
1552e24d1e2c1
hex2b9a855ac40

2996416392256 has 63 divisors (see below), whose sum is σ = 6917015310087. Its totient is φ = 1284136909440.

The previous prime is 2996416392251. The next prime is 2996416392293. The reversal of 2996416392256 is 6522936146992.

The square root of 2996416392256 is 1731016.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×29964163922562 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2996416392251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96921441 + ... + 96952351.

Almost surely, 22996416392256 is an apocalyptic number.

2996416392256 is the 1731016-th square number.

It is an amenable number.

2996416392256 is an abundant number, since it is smaller than the sum of its proper divisors (3920598917831).

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

2996416392256 is an frugal number, since it uses more digits than its factorization.

2996416392256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61848 (or 30920 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 64.

Multiplying 2996416392256 by its sum of digits (64), we get a square (191770649104384 = 138481282).

2996416392256 divided by its sum of digits (64) gives a square (46819006129 = 2163772).

The spelling of 2996416392256 in words is "two trillion, nine hundred ninety-six billion, four hundred sixteen million, three hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 30911 61822 123644 216377 247288 432754 494576 865508 989152 1514639 1731016 1978304 3029278 3462032 6058556 6924064 12117112 13848128 24234224 48468448 96936896 955489921 1910979842 3821959684 6688429447 7643919368 13376858894 15287838736 26753717788 30575677472 46819006129 53507435576 61151354944 93638012258 107014871152 187276024516 214029742304 374552049032 428059484608 749104098064 1498208196128 2996416392256