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72049103478 = 23311432820809
BaseRepresentation
bin100001100011001110…
…1100001001001110110
320212222020002200102000
41003012131201021312
52140024032302403
653033210200130
75130305163162
oct1030635411166
9225866080360
1072049103478
1128612927920
1211b69123046
136a42b25011
1436b6c13ca2
151d1a4727a3
hex10c6761276

72049103478 has 64 divisors (see below), whose sum is σ = 178726521600. Its totient is φ = 21325308480.

The previous prime is 72049103443. The next prime is 72049103509. The reversal of 72049103478 is 87430194027.

72049103478 is a `hidden beast` number, since 72 + 0 + 4 + 9 + 103 + 478 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384863 + ... + 1435946.

It is an arithmetic number, because the mean of its divisors is an integer number (2792601900).

Almost surely, 272049103478 is an apocalyptic number.

72049103478 is an abundant number, since it is smaller than the sum of its proper divisors (106677418122).

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

72049103478 is a wasteful number, since it uses less digits than its factorization.

72049103478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820874 (or 2820868 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72049103478 in words is "seventy-two billion, forty-nine million, one hundred three thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 774 946 1161 1419 2322 2838 4257 8514 12771 25542 2820809 5641618 8462427 16924854 25387281 31028899 50774562 62057798 76161843 93086697 121294787 152323686 186173394 242589574 279260091 363884361 558520182 727768722 837780273 1091653083 1334242657 1675560546 2183306166 2668485314 3274959249 4002727971 6549918498 8005455942 12008183913 24016367826 36024551739 72049103478