Search a number
-
+
123382064331604 = 221323335932834233
BaseRepresentation
bin11100000011011100100000…
…000111011011101101010100
3121011212012200012111022201201
4130003130200013123231110
5112132442431432102404
61114224534325002244
734663026400524661
oct3403344007335524
9534765605438651
10123382064331604
113634a04882a141
1211a0832b853384
1353acb567a0070
142267a1c086a68
15e3e6b5d95ca4
hex7037201dbb54

123382064331604 has 48 divisors (see below), whose sum is σ = 233590786792272. Its totient is φ = 56685365563392.

The previous prime is 123382064331551. The next prime is 123382064331619. The reversal of 123382064331604 is 406133460283321.

It can be written as a sum of positive squares in 8 ways, for example, as 2503034081604 + 120879030250000 = 1582098^2 + 10994500^2 .

It is a super-2 number, since 2×1233820643316042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42115672 + ... + 44949904.

It is an arithmetic number, because the mean of its divisors is an integer number (4866474724839).

Almost surely, 2123382064331604 is an apocalyptic number.

It is an amenable number.

123382064331604 is a deficient number, since it is larger than the sum of its proper divisors (110208722460668).

123382064331604 is a wasteful number, since it uses less digits than its factorization.

123382064331604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838076 (or 2838074 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 123382064331604 in words is "one hundred twenty-three trillion, three hundred eighty-two billion, sixty-four million, three hundred thirty-one thousand, six hundred four".

Divisors: 1 2 4 13 26 52 233 466 932 3029 3593 6058 7186 12116 14372 46709 93418 186836 837169 1674338 2834233 3348676 5668466 10883197 11336932 21766394 36845029 43532788 73690058 147380116 660376289 1320752578 2641505156 8584891757 10183399169 17169783514 20366798338 34339567028 40733596676 132384189197 264768378394 529536756788 2372732006377 4745464012754 9490928025508 30845516082901 61691032165802 123382064331604