Search a number
-
+
152025959232 = 26327431515807
BaseRepresentation
bin1000110110010101110…
…1000000101101000000
3112112101221122220110200
42031211131000231000
54442322121143412
6153501215525200
713661226221640
oct2154535005500
9475357586420
10152025959232
1159523766324
1225569229800
131144a2154c4
147502886520
153e4b8bd9dc
hex2365740b40

152025959232 has 336 divisors, whose sum is σ = 513050284032. Its totient is φ = 42137625600.

The previous prime is 152025959209. The next prime is 152025959273. The reversal of 152025959232 is 232959520251.

It is a happy number.

152025959232 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 2 + 59 + 592 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1520259592322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26176873 + ... + 26182679.

Almost surely, 2152025959232 is an apocalyptic number.

152025959232 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 152025959232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256525142016).

152025959232 is an abundant number, since it is smaller than the sum of its proper divisors (361024324800).

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

152025959232 is a wasteful number, since it uses less digits than its factorization.

152025959232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 152025959232 in words is "one hundred fifty-two billion, twenty-five million, nine hundred fifty-nine thousand, two hundred thirty-two".