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132812980536 = 23361832334691
BaseRepresentation
bin111101110110001000…
…1010100000100111000
3110200210222001110111010
41323230101110010320
54134000110334121
6141002523033520
712411141464535
oct1735421240470
9420728043433
10132812980536
1151364513035
12218a696b8a0
13c6a78c8162
1465dcd0bd8c
1536c4cb4376
hex1eec454138

132812980536 has 128 divisors (see below), whose sum is σ = 343080541440. Its totient is φ = 42826828800.

The previous prime is 132812980523. The next prime is 132812980537. The reversal of 132812980536 is 635089218231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132812980537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28309951 + ... + 28314641.

It is an arithmetic number, because the mean of its divisors is an integer number (2680316730).

Almost surely, 2132812980536 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 132812980536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171540270720).

132812980536 is an abundant number, since it is smaller than the sum of its proper divisors (210267560904).

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

132812980536 is a wasteful number, since it uses less digits than its factorization.

132812980536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 132812980536 in words is "one hundred thirty-two billion, eight hundred twelve million, nine hundred eighty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 61 83 122 166 183 233 244 249 332 366 466 488 498 664 699 732 932 996 1398 1464 1864 1992 2796 4691 5063 5592 9382 10126 14073 14213 15189 18764 19339 20252 28146 28426 30378 37528 38678 40504 42639 56292 56852 58017 60756 77356 85278 112584 113704 116034 121512 154712 170556 232068 286151 341112 389353 464136 572302 778706 858453 1093003 1144604 1168059 1179679 1557412 1716906 2186006 2289208 2336118 2359358 3114824 3279009 3433812 3539037 4372012 4672236 4718716 6558018 6867624 7078074 8744024 9344472 9437432 13116036 14156148 23750533 26232072 28312296 47501066 66673183 71251599 90719249 95002132 133346366 142503198 181438498 190004264 200019549 266692732 272157747 285006396 362876996 400039098 533385464 544315494 570012792 725753992 800078196 1088630988 1600156392 2177261976 5533874189 11067748378 16601622567 22135496756 33203245134 44270993512 66406490268 132812980536