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92157638563692 = 2232131910939482257
BaseRepresentation
bin10100111101000100011111…
…010011110101011101101100
3110002022011222021200212210100
4110331010133103311131230
544034402320433014232
6524000345032111100
725261112123616162
oct2475043723653554
9402264867625710
1092157638563692
1127400920474049
12a404926835490
133c565744b5910
1418a864c5c5232
15a9c371d3bc7c
hex53d11f4f576c

92157638563692 has 144 divisors (see below), whose sum is σ = 264319079620960. Its totient is φ = 26839184246784.

The previous prime is 92157638563691. The next prime is 92157638563693. The reversal of 92157638563692 is 29636583675129.

92157638563692 is a `hidden beast` number, since 9 + 2 + 1 + 57 + 6 + 3 + 8 + 563 + 6 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (92157638563691) and next prime (92157638563693).

It is a self number, because there is not a number n which added to its sum of digits gives 92157638563692.

It is not an unprimeable number, because it can be changed into a prime (92157638563691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4977828 + ... + 14460084.

Almost surely, 292157638563692 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 92157638563692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132159539810480).

92157638563692 is an abundant number, since it is smaller than the sum of its proper divisors (172161441057268).

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

92157638563692 is a wasteful number, since it uses less digits than its factorization.

92157638563692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483392 (or 9483387 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 92157638563692 in words is "ninety-two trillion, one hundred fifty-seven billion, six hundred thirty-eight million, five hundred sixty-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1093 1482 2186 2223 2964 3279 4372 4446 6558 8892 9837 13116 14209 19674 20767 28418 39348 41534 42627 56836 62301 83068 85254 124602 127881 170508 186903 249204 255762 269971 373806 511524 539942 747612 809913 1079884 1619826 2429739 3239652 4859478 9482257 9718956 18964514 28446771 37929028 56893542 85340313 113787084 123269341 170680626 180162883 246538682 341361252 360325766 369808023 493077364 540488649 720651532 739616046 1080977298 1109424069 1479232092 1621465947 2161954596 2218848138 2342117479 3242931894 4437696276 4684234958 6485863788 7026352437 9368469916 10364106901 14052704874 20728213802 21079057311 28105409748 31092320703 41456427604 42158114622 62184641406 84316229244 93276962109 124369282812 134733389713 186553924218 196918031119 269466779426 373107848436 393836062238 404200169139 538933558852 590754093357 787672124476 808400338278 1181508186714 1212600507417 1616800676556 1772262280071 2363016373428 2425201014834 2559934404547 3544524560142 4850402029668 5119868809094 7089049120284 7679803213641 10239737618188 15359606427282 23039409640923 30719212854564 46078819281846 92157638563692