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90036570227296 = 25711222714633887
BaseRepresentation
bin10100011110001101000101…
…110010010000001001100000
3102210210102010101102022022011
4110132031011302100021200
543300124343434233141
6515254121312322304
724651633100340260
oct2436150562201140
9383712111368264
1090036570227296
1126763327710200
12a121835243394
133b31548621794
141833b169737a0
15a620d01c9881
hex51e345c90260

90036570227296 has 144 divisors (see below), whose sum is σ = 223654041934848. Its totient is φ = 34924646972160.

The previous prime is 90036570227291. The next prime is 90036570227309. The reversal of 90036570227296 is 69272207563009.

It is a super-2 number, since 2×900365702272962 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90036570227296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90036570227291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164336 + ... + 13469551.

It is an arithmetic number, because the mean of its divisors is an integer number (1553153068992).

Almost surely, 290036570227296 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 90036570227296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111827020967424).

90036570227296 is an abundant number, since it is smaller than the sum of its proper divisors (133617471707552).

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

90036570227296 is a wasteful number, since it uses less digits than its factorization.

90036570227296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14634153 (or 14634134 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 58.

The spelling of 90036570227296 in words is "ninety trillion, thirty-six billion, five hundred seventy million, two hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 227 242 308 352 454 484 616 847 908 968 1232 1589 1694 1816 1936 2464 2497 3178 3388 3632 3872 4994 6356 6776 7264 9988 12712 13552 17479 19976 25424 27104 27467 34958 39952 50848 54934 69916 79904 109868 139832 192269 219736 279664 384538 439472 559328 769076 878944 1538152 3076304 6152608 14633887 29267774 58535548 102437209 117071096 160972757 204874418 234142192 321945514 409748836 468284384 643891028 819497672 1126809299 1287782056 1638995344 1770700327 2253618598 2575564112 3277990688 3321892349 3541400654 4507237196 5151128224 6643784698 7082801308 9014474392 12394902289 13287569396 14165602616 18028948784 23253246443 24789804578 26575138792 28331205232 36057897568 36540815839 46506492886 49579609156 53150277584 56662410464 73081631678 93012985772 99159218312 106300555168 146163263356 186025971544 198318436624 255785710873 292326526712 372051943088 396636873248 401948974229 511571421746 584653053424 744103886176 803897948458 1023142843492 1169306106848 1607795896916 2046285686984 2813642819603 3215591793832 4092571373968 5627285639206 6431183587664 8185142747936 11254571278412 12862367175328 22509142556824 45018285113648 90036570227296