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155728968600 = 233521378532221
BaseRepresentation
bin1001000100001000101…
…0110111101110011000
3112212222000112021100210
42101002022313232120
510022413103443400
6155312500131120
714152052251422
oct2210212675630
9485860467323
10155728968600
1160053a41047
1226221396aa0
13118ba450aca
1477745ab812
1540b6a2b950
hex24422b7b98

155728968600 has 192 divisors, whose sum is σ = 487072887840. Its totient is φ = 41157734400.

The previous prime is 155728968541. The next prime is 155728968611. The reversal of 155728968600 is 6869827551.

It is a super-2 number, since 2×1557289686002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70115490 + ... + 70117710.

Almost surely, 2155728968600 is an apocalyptic number.

155728968600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155728968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243536443920).

155728968600 is an abundant number, since it is smaller than the sum of its proper divisors (331343919240).

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

155728968600 is a wasteful number, since it uses less digits than its factorization.

155728968600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 155728968600 in words is "one hundred fifty-five billion, seven hundred twenty-eight million, nine hundred sixty-eight thousand, six hundred".