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146146056165256 = 2378377311537663
BaseRepresentation
bin100001001110101101000111…
…110000110101011110001000
3201011110102111221020001011111
4201032231013300311132020
5123123424110334242011
61234454323224340104
742532463340521110
oct4116550760653610
9634412457201144
10146146056165256
114262621575a394
1214484102614634
13637168b234904
142813714b78040
1511d68dabc5121
hex84eb47c35788

146146056165256 has 32 divisors (see below), whose sum is σ = 313207505879040. Its totient is φ = 62626546965888.

The previous prime is 146146056165223. The next prime is 146146056165257. The reversal of 146146056165256 is 652561650641641.

It is a super-2 number, since 2×1461460561652562 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146146056165256.

It is not an unprimeable number, because it can be changed into a prime (146146056165257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155299720 + ... + 156237943.

It is an arithmetic number, because the mean of its divisors is an integer number (9787734558720).

Almost surely, 2146146056165256 is an apocalyptic number.

It is an amenable number.

146146056165256 is an abundant number, since it is smaller than the sum of its proper divisors (167061449713784).

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

146146056165256 is a wasteful number, since it uses less digits than its factorization.

146146056165256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311546053 (or 311546049 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 58.

The spelling of 146146056165256 in words is "one hundred forty-six trillion, one hundred forty-six billion, fifty-six million, one hundred sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 8377 16754 33508 58639 67016 117278 234556 469112 311537663 623075326 1246150652 2180763641 2492301304 4361527282 8723054564 17446109128 2609751002951 5219502005902 10439004011804 18268257020657 20878008023608 36536514041314 73073028082628 146146056165256