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87798697620480 = 210325731141109113
BaseRepresentation
bin10011111101101000111010…
…001011101111010000000000
3102111212110210012022000011100
4103331220322023233100000
543001443213042323410
6510422055340014400
724331150401132000
oct2375507213572000
9374773705260140
1087798697620480
1125a80244999170
129a1bb86231400
1339cb4c6678132
1417976a01b2000
15a23ca3e198c0
hex4fda3a2ef400

87798697620480 has 4224 divisors, whose sum is σ = 403645866624000. Its totient is φ = 17479552204800.

The previous prime is 87798697620461. The next prime is 87798697620497. The reversal of 87798697620480 is 8402679689778.

87798697620480 is a `hidden beast` number, since 8 + 7 + 7 + 9 + 8 + 69 + 76 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×877986976204802 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87798697620480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 776979624904 + ... + 776979625016.

It is an arithmetic number, because the mean of its divisors is an integer number (95560101000).

Almost surely, 287798697620480 is an apocalyptic number.

87798697620480 is a gapful number since it is divisible by the number (80) 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 87798697620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201822933312000).

87798697620480 is an abundant number, since it is smaller than the sum of its proper divisors (315847169003520).

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

87798697620480 is a wasteful number, since it uses less digits than its factorization.

87798697620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 81.

The spelling of 87798697620480 in words is "eighty-seven trillion, seven hundred ninety-eight billion, six hundred ninety-seven million, six hundred twenty thousand, four hundred eighty".