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58693914960 = 2435459153269
BaseRepresentation
bin110110101010011011…
…100001000101010000
312121111110221210220020
4312222123201011100
51430201120234320
642544050143440
74145330021412
oct665233410520
9177443853806
1058693914960
112298a20403a
12b460581b80
1356c4ca15c5
142bab22a9b2
1517d7c5e940
hexdaa6e1150

58693914960 has 80 divisors (see below), whose sum is σ = 181994184960. Its totient is φ = 15648007680.

The previous prime is 58693914949. The next prime is 58693914973. The reversal of 58693914960 is 6941939685.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 58693914894 and 58693914903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075206 + ... + 1128474.

It is an arithmetic number, because the mean of its divisors is an integer number (2274927312).

Almost surely, 258693914960 is an apocalyptic number.

It is an amenable number.

58693914960 is an abundant number, since it is smaller than the sum of its proper divisors (123300270000).

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

58693914960 is a wasteful number, since it uses less digits than its factorization.

58693914960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57876 (or 57870 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 58693914960 in words is "fifty-eight billion, six hundred ninety-three million, nine hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4591 9182 13773 18364 22955 27546 36728 45910 53269 55092 68865 73456 91820 106538 110184 137730 159807 183640 213076 220368 266345 275460 319614 367280 426152 532690 550920 639228 799035 852304 1065380 1101840 1278456 1598070 2130760 2556912 3196140 4261520 6392280 12784560 244557979 489115958 733673937 978231916 1222789895 1467347874 1956463832 2445579790 2934695748 3668369685 3912927664 4891159580 5869391496 7336739370 9782319160 11738782992 14673478740 19564638320 29346957480 58693914960