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58097021902320 = 243531596119910903
BaseRepresentation
bin11010011010110110001000…
…10110100101110111110000
321121201000120100100222020210
431031123010112211313300
530103330200101333240
6323321223045304120
715144241235124342
oct1515330426456760
9247630510328223
1058097021902320
1117569899306575
126623713105040
1326556aab4059b
14104bca75a3292
156ab384645780
hex34d6c45a5df0

58097021902320 has 640 divisors, whose sum is σ = 193144209408000. Its totient is φ = 14422875033600.

The previous prime is 58097021902303. The next prime is 58097021902349. The reversal of 58097021902320 is 2320912079085.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58097021902320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5328529989 + ... + 5328540891.

It is an arithmetic number, because the mean of its divisors is an integer number (301787827200).

Almost surely, 258097021902320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58097021902320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96572104704000).

58097021902320 is an abundant number, since it is smaller than the sum of its proper divisors (135047187505680).

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

58097021902320 is a wasteful number, since it uses less digits than its factorization.

58097021902320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11269 (or 11263 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 58097021902320 in words is "fifty-eight trillion, ninety-seven billion, twenty-one million, nine hundred two thousand, three hundred twenty".