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58929902472 = 23371634314993
BaseRepresentation
bin110110111000011111…
…101111001110001000
312122002221000012220110
4312320133233032020
51431142023334342
643023320154320
74154223622560
oct667037571610
9178087005813
1058929902472
1122aa0436a41
12b5076089a0
135731b48c9c
142bd06d9da0
1517ed826c9c
hexdb87ef388

58929902472 has 128 divisors (see below), whose sum is σ = 169831157760. Its totient is φ = 16691650560.

The previous prime is 58929902459. The next prime is 58929902477. The reversal of 58929902472 is 27420992985.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (58929902477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11800008 + ... + 11805000.

It is an arithmetic number, because the mean of its divisors is an integer number (1326805920).

Almost surely, 258929902472 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 58929902472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84915578880).

58929902472 is an abundant number, since it is smaller than the sum of its proper divisors (110901255288).

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

58929902472 is a wasteful number, since it uses less digits than its factorization.

58929902472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 58929902472 in words is "fifty-eight billion, nine hundred twenty-nine million, nine hundred two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 326 431 489 652 862 978 1141 1293 1304 1724 1956 2282 2586 3017 3423 3448 3912 4564 4993 5172 6034 6846 9051 9128 9986 10344 12068 13692 14979 18102 19972 24136 27384 29958 34951 36204 39944 59916 69902 70253 72408 104853 119832 139804 140506 209706 210759 279608 281012 419412 421518 491771 562024 813859 838824 843036 983542 1475313 1627718 1686072 1967084 2151983 2441577 2950626 3255436 3934168 4303966 4883154 5697013 5901252 6455949 6510872 8607932 9766308 11394026 11802504 12911898 15063881 17091039 17215864 19532616 22788052 25823796 30127762 34182078 45191643 45576104 51647592 60255524 68364156 90383286 120511048 136728312 180766572 350773229 361533144 701546458 1052319687 1403092916 2104639374 2455412603 2806185832 4209278748 4910825206 7366237809 8418557496 9821650412 14732475618 19643300824 29464951236 58929902472