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150555634656 = 25373153136361
BaseRepresentation
bin1000110000110111010…
…0001010101111100000
3112101121110222200022220
42030031310022233200
54431314220302111
6153055253431040
713606623531240
oct2141564125740
9471543880286
10150555634656
1158939804749
122521893b480
131127471356b
1474034a9b20
153db2786e06
hex230dd0abe0

150555634656 has 192 divisors, whose sum is σ = 475037208576. Its totient is φ = 40842547200.

The previous prime is 150555634643. The next prime is 150555634711. The reversal of 150555634656 is 656436555051.

It is a super-3 number, since 3×1505556346563 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150555634599 and 150555634608.

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 31 ways as a sum of consecutive naturals, for example, 1035916 + ... + 1172276.

It is an arithmetic number, because the mean of its divisors is an integer number (2474152128).

Almost surely, 2150555634656 is an apocalyptic number.

150555634656 is a gapful number since it is divisible by the number (16) 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 150555634656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237518604288).

150555634656 is an abundant number, since it is smaller than the sum of its proper divisors (324481573920).

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

150555634656 is a wasteful number, since it uses less digits than its factorization.

150555634656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136465 (or 136457 counting only the distinct ones).

The product of its (nonzero) digits is 8100000, while the sum is 51.

The spelling of 150555634656 in words is "one hundred fifty billion, five hundred fifty-five million, six hundred thirty-four thousand, six hundred fifty-six".