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152534338944 = 2731343710599
BaseRepresentation
bin1000111000001111000…
…0010100110110000000
3112120201101021021022220
42032003300110312000
54444342242321234
6154023500131040
714006641326351
oct2160360246600
9476641237286
10152534338944
1159764726549
122568b536a80
13114cb6427c0
1475501bdd28
153e7b33ea49
hex2383c14d80

152534338944 has 128 divisors (see below), whose sum is σ = 446484192000. Its totient is φ = 45842098176.

The previous prime is 152534338927. The next prime is 152534338973. The reversal of 152534338944 is 449833435251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 140644 + ... + 569955.

It is an arithmetic number, because the mean of its divisors is an integer number (3488157750).

Almost surely, 2152534338944 is an apocalyptic number.

It is an amenable number.

152534338944 is an abundant number, since it is smaller than the sum of its proper divisors (293949853056).

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

152534338944 is a wasteful number, since it uses less digits than its factorization.

152534338944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710672 (or 710660 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 51.

The spelling of 152534338944 in words is "one hundred fifty-two billion, five hundred thirty-four million, three hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 258 312 344 384 416 516 559 624 688 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3354 4128 4472 4992 5504 6708 8256 8944 13416 16512 17888 26832 35776 53664 71552 107328 214656 710599 1421198 2131797 2842396 4263594 5684792 8527188 9237787 11369584 17054376 18475574 22739168 27713361 30555757 34108752 36951148 45478336 55426722 61111514 68217504 73902296 90956672 91667271 110853444 122223028 136435008 147804592 183334542 221706888 244446056 272870016 295609184 366669084 397224841 443413776 488892112 591218368 733338168 794449682 886827552 977784224 1182436736 1191674523 1466676336 1588899364 1773655104 1955568448 2383349046 2933352672 3177798728 3547310208 3911136896 4766698092 5866705344 6355597456 9533396184 11733410688 12711194912 19066792368 25422389824 38133584736 50844779648 76267169472 152534338944