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52113561314004 = 223271186710920577
BaseRepresentation
bin10111101100101101000100…
…10011110110001011010100
320211112000012200122120212200
423312112202103312023110
523312312033144022004
6302500350051244500
713656036426235251
oct1366264223661324
9224460180576780
1052113561314004
11156722678449a3
125a17b5a2a9730
13231039823a928
14cc244a23a428
156058d7704239
hex2f65a24f62d4

52113561314004 has 72 divisors (see below), whose sum is σ = 133658439340608. Its totient is φ = 17117347645440.

The previous prime is 52113561313991. The next prime is 52113561314041. The reversal of 52113561314004 is 40041316531125.

52113561314004 is a `hidden beast` number, since 5 + 2 + 1 + 1 + 35 + 613 + 1 + 4 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52113561314004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688237 + ... + 10232340.

It is an arithmetic number, because the mean of its divisors is an integer number (1856367213064).

Almost surely, 252113561314004 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 52113561314004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66829219670304).

52113561314004 is an abundant number, since it is smaller than the sum of its proper divisors (81544878026604).

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

52113561314004 is a wasteful number, since it uses less digits than its factorization.

52113561314004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922525 (or 10922520 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 52113561314004 its reverse (40041316531125), we get a palindrome (92154877845129).

The spelling of 52113561314004 in words is "fifty-two trillion, one hundred thirteen billion, five hundred sixty-one million, three hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1867 2556 3734 5601 7468 11202 16803 22404 33606 67212 132557 265114 397671 530228 795342 1193013 1590684 2386026 4772052 10920577 21841154 32761731 43682308 65523462 98285193 131046924 196570386 393140772 775360967 1550721934 2326082901 3101443868 4652165802 6978248703 9304331604 13956497406 20388717259 27912994812 40777434518 61166151777 81554869036 122332303554 183498455331 244664607108 366996910662 733993821324 1447598925389 2895197850778 4342796776167 5790395701556 8685593552334 13028390328501 17371187104668 26056780657002 52113561314004