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150080500039680 = 2153257231973209
BaseRepresentation
bin100010000111111101010110…
…111001001000000000000000
3201200101120000002111111220200
4202013331112321020000000
5124132404331002232210
61251110010243205200
743416646461615540
oct4207752671100000
9650346002444820
10150080500039680
1143902867755581
12149ba733976800
1365986b846aba2
14290bd1375b320
151253e117730c0
hex887f56e48000

150080500039680 has 1536 divisors, whose sum is σ = 623791363852800. Its totient is φ = 32635896201216.

The previous prime is 150080500039669. The next prime is 150080500039721. The reversal of 150080500039680 is 86930005080051.

150080500039680 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 80 + 500 + 0 + 3 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46768617916 + ... + 46768621124.

It is an arithmetic number, because the mean of its divisors is an integer number (406114169175).

Almost surely, 2150080500039680 is an apocalyptic number.

150080500039680 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 150080500039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311895681926400).

150080500039680 is an abundant number, since it is smaller than the sum of its proper divisors (473710863813120).

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

150080500039680 is a wasteful number, since it uses less digits than its factorization.

150080500039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 150080500039680 in words is "one hundred fifty trillion, eighty billion, five hundred million, thirty-nine thousand, six hundred eighty".