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152231341824 = 2832178337057
BaseRepresentation
bin1000110111000110110…
…0011110111100000000
3112112221021010102102100
42031301230132330000
54443232210414244
6153533433550400
713666302025002
oct2156154367400
9475837112370
10152231341824
1159619695301
1225605b75400
1311480935773
147521c6a372
153e5e93cb69
hex2371b1ef00

152231341824 has 108 divisors (see below), whose sum is σ = 439178508496. Its totient is φ = 50713952256.

The previous prime is 152231341799. The next prime is 152231341859. The reversal of 152231341824 is 428143132251.

152231341824 is a `hidden beast` number, since 1 + 5 + 2 + 231 + 3 + 418 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4089504 + ... + 4126560.

Almost surely, 2152231341824 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 152231341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219589254248).

152231341824 is an abundant number, since it is smaller than the sum of its proper divisors (286947166672).

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

152231341824 is a wasteful number, since it uses less digits than its factorization.

152231341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38862 (or 38845 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 152231341824 in words is "one hundred fifty-two billion, two hundred thirty-one million, three hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1783 2304 3566 5349 7132 10698 14264 16047 21396 28528 32094 37057 42792 57056 64188 74114 85584 111171 114112 128376 148228 171168 222342 228224 256752 296456 333513 342336 444684 456448 513504 592912 667026 684672 889368 1027008 1185824 1334052 1369344 1778736 2054016 2371648 2668104 3557472 4108032 4743296 5336208 7114944 9486592 10672416 14229888 21344832 28459776 42689664 66072631 85379328 132145262 198217893 264290524 396435786 528581048 594653679 792871572 1057162096 1189307358 1585743144 2114324192 2378614716 3171486288 4228648384 4757229432 6342972576 8457296768 9514458864 12685945152 16914593536 19028917728 25371890304 38057835456 50743780608 76115670912 152231341824