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14974309056 = 263723175021
BaseRepresentation
bin11011111001000100…
…11101001011000000
31102122120210201100010
431330202131023000
5221131410342211
610513515224520
71040035345500
oct157442351300
942576721303
1014974309056
116394675033
122a9aa48140
131548422505
14a20a57a00
155c993c4a6
hex37c89d2c0

14974309056 has 168 divisors, whose sum is σ = 46242616176. Its totient is φ = 4264028160.

The previous prime is 14974309039. The next prime is 14974309061. The reversal of 14974309056 is 65090347941.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×149743090562 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14974308996 and 14974309014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2979826 + ... + 2984846.

Almost surely, 214974309056 is an apocalyptic number.

14974309056 is a gapful number since it is divisible by the number (16) 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 14974309056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23121308088).

14974309056 is an abundant number, since it is smaller than the sum of its proper divisors (31268307120).

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

14974309056 is a wasteful number, since it uses less digits than its factorization.

14974309056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 14974309056 in words is "fourteen billion, nine hundred seventy-four million, three hundred nine thousand, fifty-six".