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3153668950656 = 273471011034177
BaseRepresentation
bin101101111001000101010…
…100010100101010000000
3102011111011121111210110000
4231321011110110222000
5403132203222410111
610412435302240000
7443562566533350
oct55710524245200
912144147453400
103153668950656
1110065109a7854
1242b251426000
1319b50b251483
14ac8d1a64b60
155707a4a4c56
hex2de45514a80

3153668950656 has 640 divisors, whose sum is σ = 10940004092160. Its totient is φ = 883254067200.

The previous prime is 3153668950639. The next prime is 3153668950657. The reversal of 3153668950656 is 6560598663513.

It is a happy number.

3153668950656 is a `hidden beast` number, since 3 + 1 + 536 + 6 + 8 + 95 + 0 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3153668950593 and 3153668950602.

It is not an unprimeable number, because it can be changed into a prime (3153668950657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 755006040 + ... + 755010216.

It is an arithmetic number, because the mean of its divisors is an integer number (17093756394).

Almost surely, 23153668950656 is an apocalyptic number.

3153668950656 is a gapful number since it is divisible by the number (36) 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 3153668950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470002046080).

3153668950656 is an abundant number, since it is smaller than the sum of its proper divisors (7786335141504).

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

3153668950656 is a wasteful number, since it uses less digits than its factorization.

3153668950656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 3153668950656 in words is "three trillion, one hundred fifty-three billion, six hundred sixty-eight million, nine hundred fifty thousand, six hundred fifty-six".