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152880799764 = 223711229592149
BaseRepresentation
bin1000111001100001100…
…1111110000000010100
3112121121112012022020010
42032120121332000110
510001044441043024
6154122114040220
714021346233250
oct2163031760024
9477545168203
10152880799764
1159922253700
1225767579070
1311555359ac4
147584209260
153e9b979b29
hex239867e014

152880799764 has 432 divisors, whose sum is σ = 474720624000. Its totient is φ = 37437227520.

The previous prime is 152880799751. The next prime is 152880799769. The reversal of 152880799764 is 467997088251.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 152880799695 and 152880799704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152880799769) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1026045562 + ... + 1026045710.

Almost surely, 2152880799764 is an apocalyptic number.

152880799764 is a gapful number since it is divisible by the number (14) 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 152880799764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237360312000).

152880799764 is an abundant number, since it is smaller than the sum of its proper divisors (321839824236).

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

152880799764 is a wasteful number, since it uses less digits than its factorization.

152880799764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 152880799764 in words is "one hundred fifty-two billion, eight hundred eighty million, seven hundred ninety-nine thousand, seven hundred sixty-four".