Search a number
-
+
31500554664 = 2335371569613
BaseRepresentation
bin11101010101100101…
…000101000110101000
310000022022211222101210
4131111211011012220
51004003120222124
622245434113120
72163420203535
oct352545050650
9100268758353
1031500554664
11123a5272a57
12613157b7a0
132c8021c977
14174b853d8c
15c45732a29
hex7559451a8

31500554664 has 128 divisors (see below), whose sum is σ = 81643334400. Its totient is φ = 10122577920.

The previous prime is 31500554653. The next prime is 31500554699. The reversal of 31500554664 is 46645500513.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51387222 + ... + 51387834.

It is an arithmetic number, because the mean of its divisors is an integer number (637838550).

Almost surely, 231500554664 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 31500554664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40821667200).

31500554664 is an abundant number, since it is smaller than the sum of its proper divisors (50142779736).

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

31500554664 is a wasteful number, since it uses less digits than its factorization.

31500554664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 31500554664 in words is "thirty-one billion, five hundred million, five hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 71 106 142 159 212 213 284 318 424 426 568 569 613 636 852 1138 1226 1272 1704 1707 1839 2276 2452 3414 3678 3763 4552 4904 6828 7356 7526 11289 13656 14712 15052 22578 30104 30157 32489 40399 43523 45156 60314 64978 80798 87046 90312 90471 97467 120628 121197 129956 130569 161596 174092 180942 194934 241256 242394 259912 261138 323192 348184 348797 361884 389868 484788 522276 697594 723768 779736 969576 1044552 1046391 1395188 2092782 2141147 2306719 2790376 4185564 4282294 4613438 6423441 6920157 8371128 8564588 9226876 12846882 13840314 17129176 18453752 18486241 24764587 25693764 27680628 36972482 49529174 51387528 55361256 55458723 73944964 74293761 99058348 110917446 147889928 148587522 198116696 221834892 297175044 443669784 594350088 1312523111 2625046222 3937569333 5250092444 7875138666 10500184888 15750277332 31500554664