Search a number
-
+
72499606207672 = 23761160713206931
BaseRepresentation
bin10000011111000000100001…
…010001100011110010111000
3100111200220011012200121111011
4100133000201101203302320
534000313143142121142
6414105505335243304
721161631553602040
oct2037004121436270
9314626135617434
1072499606207672
1121111a017093a6
12816aaab519534
13315b8b693bc17
1413c8ddd10c720
1585ad33c6c417
hex41f021463cb8

72499606207672 has 64 divisors (see below), whose sum is σ = 158001395120640. Its totient is φ = 30542874595200.

The previous prime is 72499606207631. The next prime is 72499606207709. The reversal of 72499606207672 is 27670260699427.

It is a junction number, because it is equal to n+sod(n) for n = 72499606207598 and 72499606207607.

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 15 ways as a sum of consecutive naturals, for example, 1113954 + ... + 12092977.

It is an arithmetic number, because the mean of its divisors is an integer number (2468771798760).

Almost surely, 272499606207672 is an apocalyptic number.

It is an amenable number.

72499606207672 is an abundant number, since it is smaller than the sum of its proper divisors (85501788912968).

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

72499606207672 is a wasteful number, since it uses less digits than its factorization.

72499606207672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13208612 (or 13208608 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 67.

The spelling of 72499606207672 in words is "seventy-two trillion, four hundred ninety-nine billion, six hundred six million, two hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1607 1708 3214 3416 6428 11249 12856 22498 44996 89992 98027 196054 392108 686189 784216 1372378 2744756 5489512 13206931 26413862 52827724 92448517 105655448 184897034 369794068 739588136 805622791 1611245582 3222491164 5639359537 6444982328 11278719074 21223538117 22557438148 42447076234 45114876296 84894152468 148564766819 169788304936 297129533638 594259067276 1188518134552 1294635825137 2589271650274 5178543300548 9062450775959 10357086601096 18124901551918 36249803103836 72499606207672