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72425662483760 = 24517232315398417
BaseRepresentation
bin10000011101111011101001…
…111000101000110100110000
3100111102211021221112020102222
4100131323221320220310300
533443110224043440020
6414011520124500212
721153403301403035
oct2035735170506460
9314384257466388
1072425662483760
1121093607380173
1281586b39aa668
133154931447b31
1413c55c683138c
15858e57300b25
hex41dee9e28d30

72425662483760 has 80 divisors (see below), whose sum is σ = 186046893683136. Its totient is φ = 26080647757824.

The previous prime is 72425662483687. The next prime is 72425662483771. The reversal of 72425662483760 is 6738426652427.

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

It is a junction number, because it is equal to n+sod(n) for n = 72425662483693 and 72425662483702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157667929 + ... + 1157730488.

Almost surely, 272425662483760 is an apocalyptic number.

It is an amenable number.

72425662483760 is an abundant number, since it is smaller than the sum of its proper divisors (113621231199376).

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

72425662483760 is a wasteful number, since it uses less digits than its factorization.

72425662483760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315398470 (or 2315398464 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 62.

The spelling of 72425662483760 in words is "seventy-two trillion, four hundred twenty-five billion, six hundred sixty-two million, four hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 2315398417 4630796834 9261593668 11576992085 18523187336 23153984170 37046374672 39361773089 46307968340 53254163591 78723546178 92615936680 106508327182 157447092356 185231873360 196808865445 213016654364 266270817955 314894184712 393617730890 426033308728 532541635910 629788369424 787235461780 852066617456 905320781047 1065083271820 1574470923560 1810641562094 2130166543640 3148941847120 3621283124188 4260333087280 4526603905235 7242566248376 9053207810470 14485132496752 18106415620940 36212831241880 72425662483760