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152869638420 = 22335283091923
BaseRepresentation
bin1000111001011110111…
…1011001000100010100
3112121120202012020202000
42032113233121010110
510001034111412140
6154121034515300
714021152326012
oct2162757310424
9477522166660
10152869638420
1159916a1aa54
1225763895b30
1311552c4c765
1475829418b2
153e9a9c2a30
hex2397bd9114

152869638420 has 48 divisors (see below), whose sum is σ = 475594432320. Its totient is φ = 40765236768.

The previous prime is 152869638403. The next prime is 152869638421. The reversal of 152869638420 is 24836968251.

152869638420 is a `hidden beast` number, since 1 + 52 + 86 + 96 + 3 + 8 + 420 = 666.

152869638420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152869638421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141545422 + ... + 141546501.

It is an arithmetic number, because the mean of its divisors is an integer number (9908217340).

Almost surely, 2152869638420 is an apocalyptic number.

152869638420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152869638420 is an abundant number, since it is smaller than the sum of its proper divisors (322724793900).

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

152869638420 is a wasteful number, since it uses less digits than its factorization.

152869638420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283091941 (or 283091933 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 152869638420 in words is "one hundred fifty-two billion, eight hundred sixty-nine million, six hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 283091923 566183846 849275769 1132367692 1415459615 1698551538 2547827307 2830919230 3397103076 4246378845 5095654614 5661838460 7643481921 8492757690 10191309228 12739136535 15286963842 16985515380 25478273070 30573927684 38217409605 50956546140 76434819210 152869638420