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2000972974824 = 23321913710676639
BaseRepresentation
bin11101000111100011010…
…010001000101011101000
321002021212020200002111200
4131013203102020223220
5230240443040143244
64131122335124200
7264364655440245
oct35074322105350
97067766602450
102000972974824
1170167609620a
12283975973660
131168c9ccb615
146cbc1ba45cc
15370b3621669
hex1d1e3488ae8

2000972974824 has 96 divisors (see below), whose sum is σ = 5746167648000. Its totient is φ = 627273835776.

The previous prime is 2000972974801. The next prime is 2000972974831. The reversal of 2000972974824 is 4284792790002.

It is a happy number.

2000972974824 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 9 + 72 + 97 + 482 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5150904 + ... + 5525735.

It is an arithmetic number, because the mean of its divisors is an integer number (59855913000).

Almost surely, 22000972974824 is an apocalyptic number.

2000972974824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2000972974824 is an abundant number, since it is smaller than the sum of its proper divisors (3745194673176).

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

2000972974824 is a wasteful number, since it uses less digits than its factorization.

2000972974824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676807 (or 10676800 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2000972974824 in words is "two trillion, nine hundred seventy-two million, nine hundred seventy-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 137 152 171 228 274 342 411 456 548 684 822 1096 1233 1368 1644 2466 2603 3288 4932 5206 7809 9864 10412 15618 20824 23427 31236 46854 62472 93708 187416 10676639 21353278 32029917 42706556 64059834 85413112 96089751 128119668 192179502 202856141 256239336 384359004 405712282 608568423 768718008 811424564 1217136846 1462699543 1622849128 1825705269 2434273692 2925399086 3651410538 4388098629 4868547384 5850798172 7302821076 8776197258 11701596344 13164295887 14605642152 17552394516 26328591774 27791291317 35104789032 52657183548 55582582634 83373873951 105314367096 111165165268 166747747902 222330330536 250121621853 333495495804 500243243706 666990991608 1000486487412 2000972974824