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156131461261920 = 25352931110149753
BaseRepresentation
bin100011100000000000110000…
…010010010110101001100000
3202110211000120222120101110110
4203200000300102112221200
5130431024213040340140
61312021445250131320
744613061105436004
oct4340006022265140
9673730528511413
10156131461261920
1145825a875a8521
12156173a6580b40
13691719774b451
142a7ab357b2704
15130b50e672380
hex8e0030496a60

156131461261920 has 96 divisors (see below), whose sum is σ = 493492649846112. Its totient is φ = 41492957130752.

The previous prime is 156131461261913. The next prime is 156131461262069. The reversal of 156131461261920 is 29162164131651.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 156131461261920.

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, 554934237 + ... + 555215516.

It is an arithmetic number, because the mean of its divisors is an integer number (5140548435897).

Almost surely, 2156131461261920 is an apocalyptic number.

156131461261920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156131461261920 is an abundant number, since it is smaller than the sum of its proper divisors (337361188584192).

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

156131461261920 is a wasteful number, since it uses less digits than its factorization.

156131461261920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110150064 (or 1110150056 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 156131461261920 in words is "one hundred fifty-six trillion, one hundred thirty-one billion, four hundred sixty-one million, two hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 293 480 586 879 1172 1465 1758 2344 2930 3516 4395 4688 5860 7032 8790 9376 11720 14064 17580 23440 28128 35160 46880 70320 140640 1110149753 2220299506 3330449259 4440599012 5550748765 6660898518 8881198024 11101497530 13321797036 16652246295 17762396048 22202995060 26643594072 33304492590 35524792096 44405990120 53287188144 66608985180 88811980240 106574376288 133217970360 177623960480 266435940720 325273877629 532871881440 650547755258 975821632887 1301095510516 1626369388145 1951643265774 2602191021032 3252738776290 3903286531548 4879108164435 5204382042064 6505477552580 7806573063096 9758216328870 10408764084128 13010955105160 15613146126192 19516432657740 26021910210320 31226292252384 39032865315480 52043820420640 78065730630960 156131461261920