Search a number
-
+
51953200753152 = 293193748113369
BaseRepresentation
bin10111101000000010011000…
…00100110110101000000000
320210221200021212222001101010
423310001030010312220000
523302200123343100102
6302254545420040520
713641331514041236
oct1364011404665000
9223850255861333
1051953200753152
1115610257454066
1259b0a65993140
1322cb22038abba
14cb87968aa956
1560164e293d6c
hex2f404c136a00

51953200753152 has 160 divisors (see below), whose sum is σ = 149628731630400. Its totient is φ = 15962860781568.

The previous prime is 51953200753141. The next prime is 51953200753249. The reversal of 51953200753152 is 25135700235915.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22976877 + ... + 25136492.

It is an arithmetic number, because the mean of its divisors is an integer number (935179572690).

Almost surely, 251953200753152 is an apocalyptic number.

It is an amenable number.

51953200753152 is an abundant number, since it is smaller than the sum of its proper divisors (97675530877248).

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

51953200753152 is a wasteful number, since it uses less digits than its factorization.

51953200753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48113446 (or 48113430 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 48.

The spelling of 51953200753152 in words is "fifty-one trillion, nine hundred fifty-three billion, two hundred million, seven hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 128 148 152 192 222 228 256 296 304 384 444 456 512 592 608 703 768 888 912 1184 1216 1406 1536 1776 1824 2109 2368 2432 2812 3552 3648 4218 4736 4864 5624 7104 7296 8436 9472 9728 11248 14208 14592 16872 18944 22496 28416 29184 33744 44992 56832 67488 89984 134976 179968 269952 359936 539904 1079808 48113369 96226738 144340107 192453476 288680214 384906952 577360428 769813904 914154011 1154720856 1539627808 1780194653 1828308022 2309441712 2742462033 3079255616 3560389306 3656616044 4618883424 5340583959 5484924066 6158511232 7120778612 7313232088 9237766848 10681167918 10969848132 12317022464 14241557224 14626464176 18475533696 21362335836 21939696264 24634044928 28483114448 29252928352 33823698407 36951067392 42724671672 43879392528 56966228896 58505856704 67647396814 73902134784 85449343344 87758785056 101471095221 113932457792 117011713408 135294793628 170898686688 175517570112 202942190442 227864915584 234023426816 270589587256 341797373376 351035140224 405884380884 455729831168 468046853632 541179174512 683594746752 702070280448 811768761768 911459662336 1082358349024 1367189493504 1404140560896 1623537523536 2164716698048 2734378987008 3247075047072 4329433396096 6494150094144 8658866792192 12988300188288 17317733584384 25976600376576 51953200753152