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58679249820 = 22357375117839
BaseRepresentation
bin110110101001100011…
…100100101110011100
312121110110100202002220
4312221203210232130
51430133341443240
642542403545340
74145061252042
oct665143445634
9177413322086
1058679249820
11229819a7994
12b45768b250
1356c1c384c9
142ba92d0392
1517d68145d0
hexda98e4b9c

58679249820 has 96 divisors (see below), whose sum is σ = 166783733760. Its totient is φ = 15412032000.

The previous prime is 58679249791. The next prime is 58679249857. The reversal of 58679249820 is 2894297685.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3280461 + ... + 3298299.

It is an arithmetic number, because the mean of its divisors is an integer number (1737330560).

Almost surely, 258679249820 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 58679249820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83391866880).

58679249820 is an abundant number, since it is smaller than the sum of its proper divisors (108104483940).

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

58679249820 is a wasteful number, since it uses less digits than its factorization.

58679249820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18675 (or 18673 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 58679249820 in words is "fifty-eight billion, six hundred seventy-nine million, two hundred forty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 751 876 1095 1460 1502 2190 2253 3004 3755 4380 4506 7510 9012 11265 15020 17839 22530 35678 45060 53517 54823 71356 89195 107034 109646 164469 178390 214068 219292 267585 274115 328938 356780 535170 548230 657876 822345 1070340 1096460 1302247 1644690 2604494 3289380 3906741 5208988 6511235 7813482 13022470 13397089 15626964 19533705 26044940 26794178 39067410 40191267 53588356 66985445 78134820 80382534 133970890 160765068 200956335 267941780 401912670 803825340 977987497 1955974994 2933962491 3911949988 4889937485 5867924982 9779874970 11735849964 14669812455 19559749940 29339624910 58679249820