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10922734161936 = 243229294972
BaseRepresentation
bin1001111011110010010110…
…1100001001000000010000
31102200012111010100102101100
42132330211230021000100
52412424224421140221
635121500152304400
72205066351326322
oct236744554110020
942605433312340
1010922734161936
11353133a7521a3
121284a956a2100
136130178a714c
1429a93d9a3612
1513e1d326c926
hex9ef25b09010

10922734161936 has 135 divisors (see below), whose sum is σ = 31662252589591. Its totient is φ = 3514992563712.

The previous prime is 10922734161929. The next prime is 10922734161943. The reversal of 10922734161936 is 63916143722901.

The square root of 10922734161936 is 3304956.

It is a perfect power (a square), and thus also a powerful number.

10922734161936 is a `hidden beast` number, since 1 + 0 + 92 + 27 + 341 + 6 + 193 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10922734161929) and next prime (10922734161943).

It can be written as a sum of positive squares in 4 ways, for example, as 2915283056400 + 8007451105536 = 1707420^2 + 2829744^2 .

It is a super-2 number, since 2×109227341619362 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1150119940 + ... + 1150129436.

Almost surely, 210922734161936 is an apocalyptic number.

10922734161936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10922734161936 is the 3304956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10922734161936

10922734161936 is an abundant number, since it is smaller than the sum of its proper divisors (20739518427655).

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

10922734161936 is an frugal number, since it uses more digits than its factorization.

10922734161936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19066 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 10922734161936 in words is "ten trillion, nine hundred twenty-two billion, seven hundred thirty-four million, one hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 841 1044 1392 1682 2088 2523 3364 4176 5046 6728 7569 9497 10092 13456 15138 18994 20184 28491 30276 37988 40368 56982 60552 75976 85473 113964 121104 151952 170946 227928 275413 341892 455856 550826 683784 826239 1101652 1367568 1652478 2203304 2478717 3304956 4406608 4957434 6609912 7986977 9914868 13219824 15973954 19829736 23960931 31947908 39659472 47921862 63895816 71882793 90193009 95843724 127791632 143765586 180386018 191687448 270579027 287531172 360772036 383374896 541158054 575062344 721544072 811737081 1082316108 1150124688 1443088144 1623474162 2164632216 2615597261 3246948324 4329264432 5231194522 6493896648 7846791783 10462389044 12987793296 15693583566 20924778088 23540375349 31387167132 41849556176 47080750698 62774334264 75852320569 94161501396 125548668528 151704641138 188323002792 227556961707 303409282276 376646005584 455113923414 606818564552 682670885121 910227846828 1213637129104 1365341770242 1820455693656 2730683540484 3640911387312 5461367080968 10922734161936