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151950966480 = 243252331295993
BaseRepresentation
bin1000110110000011111…
…0111011111011010000
3112112012201112212202100
42031200332323323100
54442143421411410
6153445540320400
713656325622115
oct2154076737320
9475181485670
10151950966480
11594953a5145
12255480a3100
13114378192b1
1474d692490c
153e450088c0
hex2360fbbed0

151950966480 has 240 divisors, whose sum is σ = 549667961856. Its totient is φ = 37508106240.

The previous prime is 151950966467. The next prime is 151950966521. The reversal of 151950966480 is 84669059151.

151950966480 is a `hidden beast` number, since 1 + 51 + 9 + 50 + 9 + 66 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 365364 + ... + 661356.

Almost surely, 2151950966480 is an apocalyptic number.

151950966480 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 151950966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274833980928).

151950966480 is an abundant number, since it is smaller than the sum of its proper divisors (397716995376).

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

151950966480 is a wasteful number, since it uses less digits than its factorization.

151950966480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296066 (or 296057 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 151950966480 in words is "one hundred fifty-one billion, nine hundred fifty million, nine hundred sixty-six thousand, four hundred eighty".