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31436700966 = 23311247102367
BaseRepresentation
bin11101010001110001…
…011111110100100110
310000010212200212121000
4131101301133310212
51003340243412331
622235233334130
72162013356256
oct352161376446
9100125625530
1031436700966
111237221a800
126114107346
132c6cc23908
141743191966
15c3ed1d0e6
hex751c5fd26

31436700966 has 96 divisors (see below), whose sum is σ = 78422077440. Its totient is φ = 9323495280.

The previous prime is 31436700949. The next prime is 31436700989. The reversal of 31436700966 is 66900763413.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255915 + ... + 358281.

It is an arithmetic number, because the mean of its divisors is an integer number (816896640).

Almost surely, 231436700966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31436700966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39211038720).

31436700966 is an abundant number, since it is smaller than the sum of its proper divisors (46985376474).

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

31436700966 is a wasteful number, since it uses less digits than its factorization.

31436700966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102447 (or 102430 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 31436700966 in words is "thirty-one billion, four hundred thirty-six million, seven hundred thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 121 141 198 242 282 297 363 423 517 594 726 846 1034 1089 1269 1551 2178 2538 3102 3267 4653 5687 6534 9306 11374 13959 17061 27918 34122 51183 102366 102367 153549 204734 307098 307101 614202 921303 1126037 1842606 2252074 2763909 3378111 4811249 5527818 6756222 9622498 10134333 12386407 14433747 20268666 24772814 28867494 30402999 37159221 43301241 52923739 60805998 74318442 86602482 105847478 111477663 129903723 158771217 222955326 259807446 317542434 334432989 476313651 582161129 668865978 952627302 1164322258 1428940953 1746483387 2857881906 3492966774 5239450161 10478900322 15718350483 31436700966