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72436398996912 = 2436725398871113
BaseRepresentation
bin10000011110000101101001…
…110101001011110110110000
3100111110212000012011121200020
4100132011221311023312300
533443244221120400122
6414020453341323440
721154233331302456
oct2036055165136660
9314425005147606
1072436398996912
1121098116903435
12815a7ab566580
1331559528ba0b2
1413c5d247149d6
15859384b94c5c
hex41e169d4bdb0

72436398996912 has 80 divisors (see below), whose sum is σ = 189995132449920. Its totient is φ = 23775715662336.

The previous prime is 72436398996881. The next prime is 72436398996959. The reversal of 72436398996912 is 21969989363427.

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 15 ways as a sum of consecutive naturals, for example, 3729868 + ... + 12600980.

It is an arithmetic number, because the mean of its divisors is an integer number (2374939155624).

Almost surely, 272436398996912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72436398996912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94997566224960).

72436398996912 is an abundant number, since it is smaller than the sum of its proper divisors (117558733453008).

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

72436398996912 is a wasteful number, since it uses less digits than its factorization.

72436398996912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873730 (or 8873724 counting only the distinct ones).

The product of its digits is 1904684544, while the sum is 78.

The spelling of 72436398996912 in words is "seventy-two trillion, four hundred thirty-six billion, three hundred ninety-eight million, nine hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 2539 3216 5078 7617 10156 15234 20312 30468 40624 60936 121872 170113 340226 510339 680452 1020678 1360904 2041356 2721808 4082712 8165424 8871113 17742226 26613339 35484452 53226678 70968904 106453356 141937808 212906712 425813424 594364571 1188729142 1783093713 2377458284 3566187426 4754916568 7132374852 9509833136 14264749704 22523755907 28529499408 45047511814 67571267721 90095023628 135142535442 180190047256 270285070884 360380094512 540570141768 1081140283536 1509091645769 3018183291538 4527274937307 6036366583076 9054549874614 12072733166152 18109099749228 24145466332304 36218199498456 72436398996912