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123680679552 = 2732107361701
BaseRepresentation
bin111001100101111110…
…0010110011010000000
3102211020112000111122100
41303023330112122000
54011244223221202
6132452414110400
711635631300403
oct1631374263200
9384215014570
10123680679552
11484a8579151
121bb784ab400
13b880904c71
145db40d7d3a
15333d1a241c
hex1ccbf16680

123680679552 has 48 divisors (see below), whose sum is σ = 355904042130. Its totient is φ = 41226892800.

The previous prime is 123680679517. The next prime is 123680679559. The reversal of 123680679552 is 255976086321.

123680679552 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 80 + 6 + 7 + 9 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122091541056 + 1589138496 = 349416^2 + 39864^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (123680679559) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53679699 + ... + 53682002.

Almost surely, 2123680679552 is an apocalyptic number.

123680679552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123680679552 is an abundant number, since it is smaller than the sum of its proper divisors (232223362578).

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

123680679552 is a wasteful number, since it uses less digits than its factorization.

123680679552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107361721 (or 107361706 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 123680679552 in words is "one hundred twenty-three billion, six hundred eighty million, six hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 107361701 214723402 322085103 429446804 644170206 858893608 966255309 1288340412 1717787216 1932510618 2576680824 3435574432 3865021236 5153361648 6871148864 7730042472 10306723296 13742297728 15460084944 20613446592 30920169888 41226893184 61840339776 123680679552