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152940520980 = 22355135989461
BaseRepresentation
bin1000111001101111110…
…1110010011000010100
3112121202200120110100000
42032123331302120110
510001210233132410
6154132050051300
714023002656502
oct2163375623024
9477680513300
10152940520980
1159952a34085
1225783579b30
1311564839bc0
14758c113672
153ea1d24dc0
hex239bf72614

152940520980 has 576 divisors, whose sum is σ = 533967033600. Its totient is φ = 36513607680.

The previous prime is 152940520949. The next prime is 152940520991. The reversal of 152940520980 is 89025049251.

It is a happy number.

152940520980 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 40 + 520 + 9 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 331757950 + ... + 331758410.

It is an arithmetic number, because the mean of its divisors is an integer number (927026100).

Almost surely, 2152940520980 is an apocalyptic number.

152940520980 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 152940520980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266983516800).

152940520980 is an abundant number, since it is smaller than the sum of its proper divisors (381026512620).

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

152940520980 is a wasteful number, since it uses less digits than its factorization.

152940520980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

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

The spelling of 152940520980 in words is "one hundred fifty-two billion, nine hundred forty million, five hundred twenty thousand, nine hundred eighty".