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97555742592480 = 2532523151157124247
BaseRepresentation
bin10110001011100111110111…
…011000100000110111100000
3110210102020102102210001122100
4112023213313120200313200
5100241323130100424410
6543252253415410400
726356112150032434
oct2613476730406740
9423366372701570
1097555742592480
11290a2181469747
12ab36b58983a00
13425860c165353
141a13a1a3d49c4
15b429ae7928c0
hex58b9f7620de0

97555742592480 has 576 divisors, whose sum is σ = 351913944066048. Its totient is φ = 24561346867200.

The previous prime is 97555742592467. The next prime is 97555742592481. The reversal of 97555742592480 is 8429524755579.

It is a happy number.

97555742592480 is a `hidden beast` number, since 9 + 7 + 5 + 5 + 57 + 4 + 2 + 5 + 92 + 480 = 666.

97555742592480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 97555742592399 and 97555742592408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97555742592481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785113717 + ... + 785237963.

It is an arithmetic number, because the mean of its divisors is an integer number (610961708448).

Almost surely, 297555742592480 is an apocalyptic number.

97555742592480 is a gapful number since it is divisible by the number (90) 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 97555742592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175956972033024).

97555742592480 is an abundant number, since it is smaller than the sum of its proper divisors (254358201473568).

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

97555742592480 is a wasteful number, since it uses less digits than its factorization.

97555742592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124599 (or 124588 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 72.

The spelling of 97555742592480 in words is "ninety-seven trillion, five hundred fifty-five billion, seven hundred forty-two million, five hundred ninety-two thousand, four hundred eighty".