Search a number
-
+
155990851632 = 24327311243607
BaseRepresentation
bin1001000101000111000…
…1111000000000110000
3112220122021022022100100
42101101301320000300
510023432124223012
6155354453152400
714161412235000
oct2212161700060
9486567268310
10155990851632
1160178850700
122629502b700
131192c794195
14779b29c000
1540cea0b8dc
hex2451c78030

155990851632 has 720 divisors, whose sum is σ = 573552179200. Its totient is φ = 39509648640.

The previous prime is 155990851501. The next prime is 155990851651. The reversal of 155990851632 is 236158099551.

155990851632 is a `hidden beast` number, since 1 + 5 + 5 + 9 + 90 + 8 + 516 + 32 = 666.

It is a super-3 number, since 3×1559908516323 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 256986273 + ... + 256986879.

Almost surely, 2155990851632 is an apocalyptic number.

155990851632 is a gapful number since it is divisible by the number (12) 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 155990851632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286776089600).

155990851632 is an abundant number, since it is smaller than the sum of its proper divisors (417561327568).

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

155990851632 is a wasteful number, since it uses less digits than its factorization.

155990851632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 155990851632 in words is "one hundred fifty-five billion, nine hundred ninety million, eight hundred fifty-one thousand, six hundred thirty-two".