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36313375019364 = 22341724724192
BaseRepresentation
bin10000100000110110111011…
…10100011001000101100100
311202120112011112121201110000
420100123131310121011210
514224424243001104424
6205122044552301300
710435361166540432
oct1020333564310544
9152515145551400
1036313375019364
1110630463568813
1240a59379a1830
13173544b5a5791
148d7810787d52
1542e8da74e3c9
hex2106ddd19164

36313375019364 has 405 divisors, whose sum is σ = 103280688904393. Its totient is φ = 11123428149504.

The previous prime is 36313375019333. The next prime is 36313375019393. The reversal of 36313375019364 is 46391057331363.

The square root of 36313375019364 is 6026058.

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

36313375019364 is a `hidden beast` number, since 3 + 6 + 3 + 13 + 37 + 501 + 93 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28271658752100 + 8041716267264 = 5317110^2 + 2835792^2 .

It is a super-2 number, since 2×363133750193642 (a number of 28 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36313375019364.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 86666765947 + ... + 86666766365.

Almost surely, 236313375019364 is an apocalyptic number.

36313375019364 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

36313375019364 is the 6026058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36313375019364

36313375019364 is an abundant number, since it is smaller than the sum of its proper divisors (66967313885029).

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

36313375019364 is an equidigital number, since it uses as much as digits as its factorization.

36313375019364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 54.

The spelling of 36313375019364 in words is "thirty-six trillion, three hundred thirteen billion, three hundred seventy-five million, nineteen thousand, three hundred sixty-four".