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53650194400 = 25521114834111
BaseRepresentation
bin110001111101110011…
…001111111111100000
312010110222022021000001
4301331303033333200
51334333422210100
640351353505344
73606334061635
oct617563177740
9163428267001
1053650194400
1120831155140
12a493412254
1350a007587a
14284d42818c
1515e006dd6a
hexc7dccffe0

53650194400 has 144 divisors (see below), whose sum is σ = 143011346688. Its totient is φ = 19491264000.

The previous prime is 53650194373. The next prime is 53650194401. The reversal of 53650194400 is 449105635.

It is a self number, because there is not a number n which added to its sum of digits gives 53650194400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53650194401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13048345 + ... + 13052455.

It is an arithmetic number, because the mean of its divisors is an integer number (993134352).

Almost surely, 253650194400 is an apocalyptic number.

53650194400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53650194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71505673344).

53650194400 is an abundant number, since it is smaller than the sum of its proper divisors (89361152288).

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

53650194400 is a wasteful number, since it uses less digits than its factorization.

53650194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 53650194400 in words is "fifty-three billion, six hundred fifty million, one hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1483 1760 2200 2966 4111 4400 5932 7415 8222 8800 11864 14830 16313 16444 20555 23728 29660 32626 32888 37075 41110 45221 47456 59320 65252 65776 74150 81565 82220 90442 102775 118640 130504 131552 148300 163130 164440 180884 205550 226105 237280 261008 296600 326260 328880 361768 407825 411100 452210 522016 593200 652520 657760 723536 815650 822200 904420 1130525 1186400 1305040 1447072 1631300 1644400 1808840 2261050 2610080 3262600 3288800 3617680 4522100 6096613 6525200 7235360 9044200 12193226 13050400 18088400 24386452 30483065 36176800 48772904 60966130 67062743 97545808 121932260 134125486 152415325 195091616 243864520 268250972 304830650 335313715 487729040 536501944 609661300 670627430 975458080 1073003888 1219322600 1341254860 1676568575 2146007776 2438645200 2682509720 3353137150 4877290400 5365019440 6706274300 10730038880 13412548600 26825097200 53650194400