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72442935090 = 23352311665529
BaseRepresentation
bin100001101110111101…
…1110111011100110010
320220222200011101211000
41003131323313130302
52141330342410330
653140235302430
75143126534251
oct1033573673462
9226880141730
1072442935090
11287a516a399
1212058baaa16
136aa65b6a86
143713250798
151d3ed18560
hex10ddef7732

72442935090 has 64 divisors (see below), whose sum is σ = 201580358400. Its totient is φ = 18478196352.

The previous prime is 72442935041. The next prime is 72442935157. The reversal of 72442935090 is 9053924427.

72442935090 is a `hidden beast` number, since 72 + 442 + 9 + 3 + 50 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 5826555 + ... + 5838974.

It is an arithmetic number, because the mean of its divisors is an integer number (3149693100).

Almost surely, 272442935090 is an apocalyptic number.

72442935090 is an abundant number, since it is smaller than the sum of its proper divisors (129137423310).

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

72442935090 is a wasteful number, since it uses less digits than its factorization.

72442935090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665568 (or 11665562 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 72442935090 in words is "seventy-two billion, four hundred forty-two million, nine hundred thirty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 11665529 23331058 34996587 58327645 69993174 104989761 116655290 174982935 209979522 268307167 314969283 349965870 524948805 536614334 629938566 804921501 1049897610 1341535835 1574846415 1609843002 2414764503 2683071670 3149692830 4024607505 4829529006 7244293509 8049215010 12073822515 14488587018 24147645030 36221467545 72442935090