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82250026691136 = 2633159119233747
BaseRepresentation
bin10010101100111001010011…
…100111111010101001000000
3101210020000200210000210001220
4102230321103213322221000
541240041023313104021
6450533050213155040
723216240223333033
oct2254712347725100
9353200623023056
1082250026691136
11242310498a4667
12928473362ba80
1336b81b4b6c335
141644ccb60301a
159797a2c53cc6
hex4ace539faa40

82250026691136 has 112 divisors (see below), whose sum is σ = 224644618690560. Its totient is φ = 26531704373760.

The previous prime is 82250026691099. The next prime is 82250026691137. The reversal of 82250026691136 is 63119662005228.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82250026691137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351759415 + ... + 351993161.

Almost surely, 282250026691136 is an apocalyptic number.

It is an amenable number.

82250026691136 is an abundant number, since it is smaller than the sum of its proper divisors (142394591999424).

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

82250026691136 is a wasteful number, since it uses less digits than its factorization.

82250026691136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292912 (or 292902 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 82250026691136 in words is "eighty-two trillion, two hundred fifty billion, twenty-six million, six hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 59119 118238 177357 233747 236476 354714 467494 472952 701241 709428 934988 945904 1402482 1418856 1832689 1869976 1891808 2804964 2837712 3665378 3739952 3783616 5498067 5609928 5675424 7246157 7330756 7479904 10996134 11219856 11350848 14492314 14661512 14959808 21738471 21992268 22439712 28984628 29323024 43476942 43984536 44879424 57969256 58646048 86953884 87969072 115938512 117292096 173907768 175938144 231877024 347815536 351876288 463754048 695631072 1391262144 13818888893 27637777786 41456666679 55275555572 82913333358 110551111144 165826666716 221102222288 331653333432 428385555683 442204444576 663306666864 856771111366 884408889152 1285156667049 1326613333728 1713542222732 2570313334098 2653226667456 3427084445464 5140626668196 6854168890928 10281253336392 13708337781856 20562506672784 27416675563712 41125013345568 82250026691136