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1972853431808 = 2971793075203
BaseRepresentation
bin11100101101010111001…
…110100101111000000000
320222121021112210022011112
4130231113032211320000
5224310400434304213
64110152155502452
7262351101324260
oct34552716457000
96877245708145
101972853431808
116a075636a366
1227a428757a28
131140683b697c
146b6b53b77a0
15364b9b44ea8
hex1cb573a5e00

1972853431808 has 80 divisors (see below), whose sum is σ = 4530144516480. Its totient is φ = 840784828416.

The previous prime is 1972853431799. The next prime is 1972853431819. The reversal of 1972853431808 is 8081343582791.

It is a super-2 number, since 2×19728534318082 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896066 + ... + 2179137.

It is an arithmetic number, because the mean of its divisors is an integer number (56626806456).

Almost surely, 21972853431808 is an apocalyptic number.

It is an amenable number.

1972853431808 is an abundant number, since it is smaller than the sum of its proper divisors (2557291084672).

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

1972853431808 is an equidigital number, since it uses as much as digits as its factorization.

1972853431808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075407 (or 3075391 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 1972853431808 in words is "one trillion, nine hundred seventy-two billion, eight hundred fifty-three million, four hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 179 224 256 358 448 512 716 896 1253 1432 1792 2506 2864 3584 5012 5728 10024 11456 20048 22912 40096 45824 80192 91648 160384 320768 641536 3075203 6150406 12300812 21526421 24601624 43052842 49203248 86105684 98406496 172211368 196812992 344422736 393625984 550461337 688845472 787251968 1100922674 1377690944 1574503936 2201845348 2755381888 3853229359 4403690696 5510763776 7706458718 8807381392 11021527552 15412917436 17614762784 30825834872 35229525568 61651669744 70459051136 123303339488 140918102272 246606678976 281836204544 493213357952 986426715904 1972853431808