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1330078934952 = 233825340629
BaseRepresentation
bin10011010110101110111…
…000011110011110101000
311201011011111011200000000
4103112232320132132220
5133243000201404302
62455010235343000
7165044411256315
oct23265670363650
94634144150000
101330078934952
114730a097a219
121959408b1a60
139856c938bc1
144853a29dd0c
15248e994231c
hex135aee1e7a8

1330078934952 has 72 divisors (see below), whose sum is σ = 3740657097450. Its totient is φ = 443359627488.

The previous prime is 1330078934897. The next prime is 1330078934963. The reversal of 1330078934952 is 2594398700331.

It can be written as a sum of positive squares in only one way, i.e., 959643588996 + 370435345956 = 979614^2 + 608634^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 12617827 + ... + 12722802.

Almost surely, 21330078934952 is an apocalyptic number.

1330078934952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330078934952 is an abundant number, since it is smaller than the sum of its proper divisors (2410578162498).

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

1330078934952 is an frugal number, since it uses more digits than its factorization.

1330078934952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25340659 (or 25340634 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1330078934952 in words is "one trillion, three hundred thirty billion, seventy-eight million, nine hundred thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 52488 25340629 50681258 76021887 101362516 152043774 202725032 228065661 304087548 456131322 608175096 684196983 912262644 1368393966 1824525288 2052590949 2736787932 4105181898 5473575864 6157772847 8210363796 12315545694 16420727592 18473318541 24631091388 36946637082 49262182776 55419955623 73893274164 110839911246 147786548328 166259866869 221679822492 332519733738 443359644984 665039467476 1330078934952