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72490123602 = 232136143111783
BaseRepresentation
bin100001110000010111…
…1111000000101010010
320221002221221211021200
41003200233320011102
52141424432423402
653145042532030
75144241612141
oct1034057700522
9227087854250
1072490123602
112881986a866
1212070967016
136ab32c9580
143719615758
151d4403a21c
hex10e0bf8152

72490123602 has 96 divisors (see below), whose sum is σ = 172329970176. Its totient is φ = 21886243200.

The previous prime is 72490123591. The next prime is 72490123609. The reversal of 72490123602 is 20632109427.

72490123602 is a `hidden beast` number, since 7 + 2 + 49 + 0 + 1 + 2 + 3 + 602 = 666.

It is not an unprimeable number, because it can be changed into a prime (72490123609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6146203 + ... + 6157985.

It is an arithmetic number, because the mean of its divisors is an integer number (1795103856).

Almost surely, 272490123602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72490123602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86164985088).

72490123602 is an abundant number, since it is smaller than the sum of its proper divisors (99839846574).

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

72490123602 is a wasteful number, since it uses less digits than its factorization.

72490123602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12296 (or 12293 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 72490123602 in words is "seventy-two billion, four hundred ninety million, one hundred twenty-three thousand, six hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 431 549 793 862 1098 1293 1586 2379 2586 3879 4758 5603 7137 7758 11206 11783 14274 16809 23566 26291 33618 35349 50427 52582 70698 78873 100854 106047 153179 157746 212094 236619 306358 341783 459537 473238 683566 718763 919074 1025349 1378611 1437526 2050698 2156289 2757222 3076047 4312578 5078473 6152094 6468867 9343919 10156946 12937734 15235419 18687838 28031757 30470838 45706257 56063514 66020149 84095271 91412514 132040298 168190542 198060447 309786853 396120894 594181341 619573706 929360559 1188362682 1858721118 2788081677 4027229089 5576163354 8054458178 12081687267 24163374534 36245061801 72490123602