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61026757255656 = 23331373467594829
BaseRepresentation
bin11011110000000111001100…
…01100000010000111101000
322000002002201122022100212000
431320003212030002013220
530444330244324140111
6333443145533451000
715566015635545243
oct1570034614020750
9260062648270760
1061026757255656
1118499336563225
126a17489640a60
132808a4c45588a
14110d9d467425a
1570c6a53eec56
hex3780e63021e8

61026757255656 has 128 divisors (see below), whose sum is σ = 170805672432000. Its totient is φ = 20187910319616.

The previous prime is 61026757255589. The next prime is 61026757255817. The reversal of 61026757255656 is 65655275762016.

61026757255656 is a `hidden beast` number, since 6 + 1 + 0 + 2 + 6 + 7 + 5 + 72 + 556 + 5 + 6 = 666.

It is a super-2 number, since 2×610267572556562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61026757255593 and 61026757255602.

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 31 ways as a sum of consecutive naturals, for example, 102298050 + ... + 102892878.

It is an arithmetic number, because the mean of its divisors is an integer number (1334419315875).

Almost surely, 261026757255656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61026757255656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85402836216000).

61026757255656 is an abundant number, since it is smaller than the sum of its proper divisors (109778915176344).

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

61026757255656 is a wasteful number, since it uses less digits than its factorization.

61026757255656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598448 (or 598438 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 61026757255656 in words is "sixty-one trillion, twenty-six billion, seven hundred fifty-seven million, two hundred fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1233 1644 2466 3288 3467 3699 4932 6934 7398 9864 10401 13868 14796 20802 27736 29592 31203 41604 62406 83208 93609 124812 187218 249624 374436 474979 594829 748872 949958 1189658 1424937 1784487 1899916 2379316 2849874 3568974 3799832 4274811 4758632 5353461 5699748 7137948 8549622 10706922 11399496 12824433 14275896 16060383 17099244 21413844 25648866 32120766 34198488 42827688 51297732 64241532 81491573 102595464 128483064 162983146 244474719 325966292 488949438 651932584 733424157 977898876 1466848314 1955797752 2062272143 2200272471 2933696628 4124544286 4400544942 5867393256 6186816429 8249088572 8801089884 12373632858 16498177144 17602179768 18560449287 24747265716 37120898574 49494531432 55681347861 74241797148 111362695722 148483594296 222725391444 282531283591 445450782888 565062567182 847593850773 1130125134364 1695187701546 2260250268728 2542781552319 3390375403092 5085563104638 6780750806184 7628344656957 10171126209276 15256689313914 20342252418552 30513378627828 61026757255656