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80971939584 = 283249970429
BaseRepresentation
bin100101101101001001…
…1011011111100000000
321202000001222201110100
41023122103123330000
52311312304031314
6101110433402400
75564363062464
oct1133223337400
9252001881410
1080971939584
1131381604738
1213839409400
1378355c8ab3
143cc1ca04a4
15218d9aac09
hex12da4dbf00

80971939584 has 108 divisors (see below), whose sum is σ = 233933245000. Its totient is φ = 26936174592.

The previous prime is 80971939577. The next prime is 80971939681. The reversal of 80971939584 is 48593917908.

80971939584 is a `hidden beast` number, since 8 + 0 + 9 + 7 + 19 + 39 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1114482 + ... + 1184910.

Almost surely, 280971939584 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 80971939584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116966622500).

80971939584 is an abundant number, since it is smaller than the sum of its proper divisors (152961305416).

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

80971939584 is a wasteful number, since it uses less digits than its factorization.

80971939584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70950 (or 70933 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 80971939584 in words is "eighty billion, nine hundred seventy-one million, nine hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 499 576 768 998 1152 1497 1996 2304 2994 3992 4491 5988 7984 8982 11976 15968 17964 23952 31936 35928 47904 63872 70429 71856 95808 127744 140858 143712 191616 211287 281716 287424 383232 422574 563432 574848 633861 845148 1126864 1149696 1267722 1690296 2253728 2535444 3380592 4507456 5070888 6761184 9014912 10141776 13522368 18029824 20283552 27044736 35144071 40567104 54089472 70288142 81134208 105432213 140576284 162268416 210864426 281152568 316296639 421728852 562305136 632593278 843457704 1124610272 1265186556 1686915408 2249220544 2530373112 3373830816 4498441088 5060746224 6747661632 8996882176 10121492448 13495323264 20242984896 26990646528 40485969792 80971939584