Search a number
-
+
32322131011196 = 22133171025921089
BaseRepresentation
bin1110101100101100101010…
…01000110010011001111100
311020102222001212212111020122
413112112111020302121330
513214031211014324241
6152424325413434112
76544124352330305
oct726262510623174
9136388055774218
1032322131011196
11a331814357434
1237602b433b938
131505c6b835000
147da5842a37ac
153b0b8d32204b
hex1d659523267c

32322131011196 has 96 divisors (see below), whose sum is σ = 64889053992000. Its totient is φ = 14038348406784.

The previous prime is 32322131011097. The next prime is 32322131011231. The reversal of 32322131011196 is 69111013122323.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1532643020 + ... + 1532664108.

It is an arithmetic number, because the mean of its divisors is an integer number (675927645750).

Almost surely, 232322131011196 is an apocalyptic number.

It is an amenable number.

32322131011196 is an abundant number, since it is smaller than the sum of its proper divisors (32566922980804).

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

32322131011196 is a wasteful number, since it uses less digits than its factorization.

32322131011196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31408 (or 31380 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 32322131011196 in words is "thirty-two trillion, three hundred twenty-two billion, one hundred thirty-one million, eleven thousand, one hundred ninety-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 338 442 676 884 2197 2873 4394 5746 8788 10259 11492 20518 21089 37349 41036 42178 74698 84356 133367 149396 174403 266734 274157 348806 358513 533468 548314 697612 717026 1096628 1434052 1733771 2267239 3467542 3564041 4534478 4660669 6935084 7128082 9068956 9321338 14256164 18642676 22539023 29474107 45078046 46332533 58948214 60588697 90156092 92665066 117896428 121177394 185330132 216352051 242354788 383163391 432704102 766326782 787653061 865408204 1532653564 1575306122 2812576663 3150612244 3677984867 5625153326 7355969734 11250306652 14711939468 36563496619 47813803271 73126993238 95627606542 146253986476 191255213084 475325456047 621579442523 950650912094 1243158885046 1901301824188 2486317770092 8080532752799 16161065505598 32322131011196