Search a number
-
+
65552935497264 = 243219137174886177
BaseRepresentation
bin11101110011110101110110…
…11011110010111000110000
322121002210120210012020110200
432321322323123302320300
532043004402441403024
6351230334113355200
716544020565036115
oct1671727333627060
9277083523166420
1065552935497264
1119983931143706
127428721568b00
132a767cca4c167
141228ac984890c
1578a2b034e2c9
hex3b9ebb6f2e30

65552935497264 has 120 divisors (see below), whose sum is σ = 194522398065840. Its totient is φ = 20549825224704.

The previous prime is 65552935497253. The next prime is 65552935497271. The reversal of 65552935497264 is 46279453925556.

65552935497264 is a `hidden beast` number, since 6 + 5 + 5 + 5 + 2 + 9 + 3 + 549 + 72 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 65552935497192 and 65552935497201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87068257 + ... + 87817920.

It is an arithmetic number, because the mean of its divisors is an integer number (1621019983882).

Almost surely, 265552935497264 is an apocalyptic number.

It is an amenable number.

65552935497264 is an abundant number, since it is smaller than the sum of its proper divisors (128969462568576).

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

65552935497264 is a wasteful number, since it uses less digits than its factorization.

65552935497264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174886347 (or 174886338 counting only the distinct ones).

The product of its digits is 2449440000, while the sum is 72.

The spelling of 65552935497264 in words is "sixty-five trillion, five hundred fifty-two billion, nine hundred thirty-five million, four hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 137 144 152 171 228 274 304 342 411 456 548 684 822 912 1096 1233 1368 1644 2192 2466 2603 2736 3288 4932 5206 6576 7809 9864 10412 15618 19728 20824 23427 31236 41648 46854 62472 93708 124944 187416 374832 174886177 349772354 524658531 699544708 1049317062 1399089416 1573975593 2098634124 2798178832 3147951186 3322837363 4197268248 6295902372 6645674726 8394536496 9968512089 12591804744 13291349452 19937024178 23959406249 25183609488 26582698904 29905536267 39874048356 47918812498 53165397808 59811072534 71878218747 79748096712 95837624996 119622145068 143756437494 159496193424 191675249992 215634656241 239244290136 287512874988 383350499984 431269312482 455228718731 478488580272 575025749976 862538624964 910457437462 1150051499952 1365686156193 1725077249928 1820914874924 2731372312386 3450154499856 3641829749848 4097058468579 5462744624772 7283659499696 8194116937158 10925489249544 16388233874316 21850978499088 32776467748632 65552935497264