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152791938672 = 24337101851797
BaseRepresentation
bin1000111001001100011…
…0111111011001110000
3112121101022222200201120
42032103012333121300
510000404214014142
6154105221302240
714016220023102
oct2162306773160
9477338880646
10152791938672
115988707aa8a
1225741864980
131153cb16389
1475764b7572
153e93c757ec
hex23931bf670

152791938672 has 80 divisors (see below), whose sum is σ = 409394561952. Its totient is φ = 49063449600.

The previous prime is 152791938671. The next prime is 152791938731. The reversal of 152791938672 is 276839197251.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152791938671) 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, 246523 + ... + 605274.

Almost surely, 2152791938672 is an apocalyptic number.

152791938672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152791938672 is an abundant number, since it is smaller than the sum of its proper divisors (256602623280).

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

152791938672 is a wasteful number, since it uses less digits than its factorization.

152791938672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851946 (or 851940 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 60.

The spelling of 152791938672 in words is "one hundred fifty-two billion, seven hundred ninety-one million, nine hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 101 111 148 202 222 296 303 404 444 592 606 808 888 1212 1616 1776 2424 3737 4848 7474 11211 14948 22422 29896 44844 59792 89688 179376 851797 1703594 2555391 3407188 5110782 6814376 10221564 13628752 20443128 31516489 40886256 63032978 86031497 94549467 126065956 172062994 189098934 252131912 258094491 344125988 378197868 504263824 516188982 688251976 756395736 1032377964 1376503952 1512791472 2064755928 3183165389 4129511856 6366330778 9549496167 12732661556 19098992334 25465323112 38197984668 50930646224 76395969336 152791938672