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72364351254 = 23131953217383
BaseRepresentation
bin100001101100101000…
…0000101111100010110
320220210012021221001120
41003121100011330112
52141200233220004
653124351104410
75141153556666
oct1033120057426
9226705257046
1072364351254
1128764876178
1212036812106
136a93231170
143706a361a6
151d37e943d9
hex10d9405f16

72364351254 has 96 divisors (see below), whose sum is σ = 167228517120. Its totient is φ = 20694870144.

The previous prime is 72364351219. The next prime is 72364351277. The reversal of 72364351254 is 45215346327.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4154247 + ... + 4171629.

It is an arithmetic number, because the mean of its divisors is an integer number (1741963720).

Almost surely, 272364351254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72364351254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83614258560).

72364351254 is an abundant number, since it is smaller than the sum of its proper divisors (94864165866).

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

72364351254 is a wasteful number, since it uses less digits than its factorization.

72364351254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17526 (or 17473 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The spelling of 72364351254 in words is "seventy-two billion, three hundred sixty-four million, three hundred fifty-one thousand, two hundred fifty-four".

Divisors: 1 2 3 6 13 19 26 38 39 53 57 78 106 114 159 247 318 494 689 741 1007 1378 1482 2014 2067 2809 3021 4134 5618 6042 8427 13091 16854 17383 26182 34766 36517 39273 52149 53371 73034 78546 104298 106742 109551 160113 219102 225979 320226 330277 451958 660554 677937 693823 921299 990831 1355874 1387646 1842598 1981662 2081469 2763897 4162938 4293601 5527794 8587202 11976887 12880803 17504681 23953774 25761606 35009362 35930661 48828847 52514043 71861322 97657694 105028086 146486541 227560853 292973082 455121706 634775011 682682559 927748093 1269550022 1365365118 1855496186 1904325033 2783244279 3808650066 5566488558 12060725209 24121450418 36182175627 72364351254