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72140622510 = 2351117116311057
BaseRepresentation
bin100001100101111101…
…0101000101010101110
320220012121022022220210
41003023322220222232
52140220444410020
653050235523250
75132466113415
oct1031372505256
9226177268823
1072140622510
112865a556490
1211b938b9526
136a58a894a8
1436c503847c
151d234ee3e0
hex10cbea8aae

72140622510 has 128 divisors (see below), whose sum is σ = 200177754624. Its totient is φ = 16444252160.

The previous prime is 72140622481. The next prime is 72140622553. The reversal of 72140622510 is 1522604127.

It is a super-2 number, since 2×721406225102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 6518902 + ... + 6529958.

It is an arithmetic number, because the mean of its divisors is an integer number (1563888708).

Almost surely, 272140622510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72140622510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100088877312).

72140622510 is an abundant number, since it is smaller than the sum of its proper divisors (128037132114).

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

72140622510 is a wasteful number, since it uses less digits than its factorization.

72140622510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258.

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 72140622510 in words is "seventy-two billion, one hundred forty million, six hundred twenty-two thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1163 1870 2326 2805 3489 5610 5815 6978 11057 11630 12793 17445 19771 22114 25586 33171 34890 38379 39542 55285 59313 63965 66342 76758 98855 110570 118626 121627 127930 165855 187969 191895 197710 217481 243254 296565 331710 364881 375938 383790 434962 563907 593130 608135 652443 729762 939845 1087405 1127814 1216270 1304886 1824405 1879690 2067659 2174810 2819535 3262215 3648810 4135318 5639070 6202977 6524430 10338295 12405954 12859291 20676590 25718582 31014885 38577873 62029770 64296455 77155746 128592910 141452201 192889365 218607947 282904402 385778730 424356603 437215894 655823841 707261005 848713206 1093039735 1311647682 1414522010 2121783015 2186079470 2404687417 3279119205 4243566030 4809374834 6558238410 7214062251 12023437085 14428124502 24046874170 36070311255 72140622510