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81702690984 = 233313119714657
BaseRepresentation
bin100110000010111011…
…1000010000010101000
321210220000000201221000
41030011313002002220
52314311342102414
6101311140115000
75621445262155
oct1140567020250
9253800021830
1081702690984
1131717048012
1213a02095a60
137920b14185
143d50d6122c
1521d2c04b09
hex1305dc20a8

81702690984 has 128 divisors (see below), whose sum is σ = 229860892800. Its totient is φ = 26887311360.

The previous prime is 81702690961. The next prime is 81702691003. The reversal of 81702690984 is 48909620718.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 81702690984.

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, 5566984 + ... + 5581640.

It is an arithmetic number, because the mean of its divisors is an integer number (1795788225).

Almost surely, 281702690984 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 81702690984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114930446400).

81702690984 is an abundant number, since it is smaller than the sum of its proper divisors (148158201816).

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

81702690984 is a wasteful number, since it uses less digits than its factorization.

81702690984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 81702690984 in words is "eighty-one billion, seven hundred two million, six hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 197 216 262 393 394 524 591 786 788 1048 1179 1182 1572 1576 1773 2358 2364 3144 3537 3546 4716 4728 5319 7074 7092 9432 10638 14148 14184 14657 21276 25807 28296 29314 42552 43971 51614 58628 77421 87942 103228 117256 131913 154842 175884 206456 232263 263826 309684 351768 395739 464526 527652 619368 696789 791478 929052 1055304 1393578 1582956 1858104 1920067 2787156 2887429 3165912 3840134 5574312 5760201 5774858 7680268 8662287 11520402 11549716 15360536 17280603 17324574 23040804 23099432 25986861 34561206 34649148 46081608 51841809 51973722 69122412 69298296 77960583 103683618 103947444 138244824 155921166 207367236 207894888 311842332 378253199 414734472 623684664 756506398 1134759597 1513012796 2269519194 3026025592 3404278791 4539038388 6808557582 9078076776 10212836373 13617115164 20425672746 27234230328 40851345492 81702690984