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78540468402 = 231123167359863
BaseRepresentation
bin100100100100101100…
…0000111000010110010
321111201121202012001010
41021021120013002302
52241322324442102
6100025254451350
75450206652304
oct1111130070262
9244647665033
1078540468402
1130344057420
121327b063b56
137538941656
143b30dab974
15209a2b9d6c
hex12496070b2

78540468402 has 128 divisors (see below), whose sum is σ = 180592312320. Its totient is φ = 22539851840.

The previous prime is 78540468373. The next prime is 78540468427. The reversal of 78540468402 is 20486404587.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91008223 + ... + 91009085.

It is an arithmetic number, because the mean of its divisors is an integer number (1410877440).

Almost surely, 278540468402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78540468402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90296156160).

78540468402 is an abundant number, since it is smaller than the sum of its proper divisors (102051843918).

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

78540468402 is a wasteful number, since it uses less digits than its factorization.

78540468402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428.

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 78540468402 in words is "seventy-eight billion, five hundred forty million, four hundred sixty-eight thousand, four hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 167 253 334 359 501 506 718 759 863 1002 1077 1518 1726 1837 2154 2589 3674 3841 3949 5178 5511 7682 7898 8257 9493 11022 11523 11847 16514 18986 19849 23046 23694 24771 28479 39698 42251 49542 56958 59547 59953 84502 90827 119094 119906 126753 144121 179859 181654 218339 253506 272481 288242 309817 359718 432363 436678 544962 619634 655017 659483 864726 929451 1310034 1318966 1378919 1585331 1858902 1978449 2757838 3170662 3314783 3407987 3956898 4136757 4755993 6629566 6815974 7125791 8273514 9511986 9944349 10223961 14251582 15168109 19888698 20447922 21377373 30336218 36462613 42754746 45504327 51739439 72925226 78383701 91008654 103478878 109387839 155218317 156767402 218775678 235151103 310436634 470302206 569133829 1138267658 1190007097 1707401487 2380014194 3414802974 3570021291 7140042582 13090078067 26180156134 39270234201 78540468402