Search a number
-
+
152320443072 = 2637532138371
BaseRepresentation
bin1000110111011100000…
…0011000001011000000
3112120011110210020100120
42031313000120023000
54443423013134242
6153550335420240
714001433255260
oct2156700301300
9476143706316
10152320443072
1159664a123a6
122562b984680
13114962315b5
14752da217a0
153e6768d1ec
hex23770182c0

152320443072 has 112 divisors (see below), whose sum is σ = 469278565632. Its totient is φ = 42698972160.

The previous prime is 152320442971. The next prime is 152320443073. The reversal of 152320443072 is 270344023251.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (152320443073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997954 + ... + 1140417.

Almost surely, 2152320443072 is an apocalyptic number.

152320443072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152320443072 is an abundant number, since it is smaller than the sum of its proper divisors (316958122560).

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

152320443072 is a wasteful number, since it uses less digits than its factorization.

152320443072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138446 (or 2138436 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 152320443072 in words is "one hundred fifty-two billion, three hundred twenty million, four hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 5088 5936 8904 10176 11872 17808 23744 35616 71232 2138371 4276742 6415113 8553484 12830226 14968597 17106968 25660452 29937194 34213936 44905791 51320904 59874388 68427872 89811582 102641808 113333663 119748776 136855744 179623164 205283616 226667326 239497552 340000989 359246328 410567232 453334652 478995104 680001978 718492656 793335641 906669304 957990208 1360003956 1436985312 1586671282 1813338608 2380006923 2720007912 2873970624 3173342564 3626677216 4760013846 5440015824 6346685128 7253354432 9520027692 10880031648 12693370256 19040055384 21760063296 25386740512 38080110768 50773481024 76160221536 152320443072