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1945881376008 = 233314370398641
BaseRepresentation
bin11100010100001111100…
…100010111010100001000
320220000122211002220100220
4130110033210113110020
5223340131113013013
64045531531030040
7260404516535133
oct34241744272410
96800584086326
101945881376008
11690275342659
1227515b89b320
1311165a43b43b
146a27716b21a
153593bc7eb23
hex1c50f917508

1945881376008 has 128 divisors (see below), whose sum is σ = 5139736166400. Its totient is φ = 612947865600.

The previous prime is 1945881375961. The next prime is 1945881376037. The reversal of 1945881376008 is 8006731885491.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225187368 + ... + 225196008.

It is an arithmetic number, because the mean of its divisors is an integer number (40154188800).

Almost surely, 21945881376008 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 1945881376008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569868083200).

1945881376008 is an abundant number, since it is smaller than the sum of its proper divisors (3193854790392).

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

1945881376008 is a wasteful number, since it uses less digits than its factorization.

1945881376008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15763 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 1945881376008 in words is "one trillion, nine hundred forty-five billion, eight hundred eighty-one million, three hundred seventy-six thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 31 43 62 86 93 124 129 172 186 248 258 344 372 516 744 1032 1333 2666 3999 5332 7039 7998 8641 10664 14078 15996 17282 21117 25923 28156 31992 34564 42234 51846 56312 69128 84468 103692 168936 207384 218209 267871 302677 371563 436418 535742 605354 654627 743126 803613 872836 908031 1071484 1114689 1210708 1309254 1486252 1607226 1745672 1816062 2142968 2229378 2421416 2618508 2972504 3214452 3632124 4458756 5237016 6428904 7264248 8917512 9382987 11518453 18765974 23036906 28148961 34555359 37531948 46073812 56297922 60823999 69110718 75063896 92147624 112595844 121647998 138221436 182471997 225191688 243295996 276442872 364943994 486591992 729887988 1459775976 1885543969 2615431957 3771087938 5230863914 5656631907 7542175876 7846295871 10461727828 11313263814 15084351752 15692591742 20923455656 22626527628 31385183484 45253055256 62770366968 81078390667 162156781334 243235172001 324313562668 486470344002 648627125336 972940688004 1945881376008