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71267772078 = 23423291574201
BaseRepresentation
bin100001001011111100…
…0111110011010101110
320210221202212221020000
41002113320332122232
52131424022201303
652423455405130
75102040032106
oct1022770763256
9223852787200
1071267772078
1128251887a98
121198b5237a6
136949caa549
143641148206
151cc1a86da3
hex1097e3e6ae

71267772078 has 160 divisors (see below), whose sum is σ = 173521085760. Its totient is φ = 21794572800.

The previous prime is 71267772077. The next prime is 71267772091. The reversal of 71267772078 is 87027776217.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71267772077) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16962378 + ... + 16966578.

It is an arithmetic number, because the mean of its divisors is an integer number (1084506786).

Almost surely, 271267772078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71267772078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86760542880).

71267772078 is an abundant number, since it is smaller than the sum of its proper divisors (102253313682).

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

71267772078 is a wasteful number, since it uses less digits than its factorization.

71267772078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 54.

The spelling of 71267772078 in words is "seventy-one billion, two hundred sixty-seven million, seven hundred seventy-two thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 81 87 138 157 162 174 207 261 314 414 471 522 621 667 783 942 1242 1334 1413 1566 1863 2001 2349 2826 3611 3726 4002 4201 4239 4553 4698 6003 7222 8402 8478 9106 10833 12006 12603 12717 13659 18009 21666 25206 25434 27318 32499 36018 37809 40977 54027 64998 75618 81954 96623 97497 104719 108054 113427 121829 122931 193246 194994 209438 226854 243658 245862 289869 292491 314157 340281 365487 368793 579738 584982 628314 659557 680562 730974 737586 869607 942471 1096461 1319114 1739214 1884942 1978671 2192922 2608821 2802067 2827413 3289383 3957342 5217642 5604134 5654826 5936013 6578766 7826463 8406201 8482239 9868149 11872026 15169811 15652926 16812402 16964478 17808039 19127153 19736298 25218603 30339622 35616078 38254306 45509433 50437206 53424117 57381459 75655809 91018866 106848234 114762918 136528299 151311618 172144377 226967427 273056598 344288754 409584897 439924519 453934854 516433131 819169794 879849038 1032866262 1228754691 1319773557 1549299393 2457509382 2639547114 3098598786 3959320671 7918641342 11877962013 23755924026 35633886039 71267772078