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52075363752 = 23331811331987
BaseRepresentation
bin110000011111111011…
…101111110110101000
311222102012222120111000
4300133323233312220
51323122243120002
635531215435000
73522322200636
oct603773576650
9158365876430
1052075363752
11200a3204605
12a113b25a60
134baba13109
142740206356
15154bb9261c
hexc1feefda8

52075363752 has 64 divisors (see below), whose sum is σ = 145453089600. Its totient is φ = 17262538560.

The previous prime is 52075363741. The next prime is 52075363763. The reversal of 52075363752 is 25736357025.

52075363752 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 5 + 3 + 637 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (52075363741) and next prime (52075363763).

It is a junction number, because it is equal to n+sod(n) for n = 52075363698 and 52075363707.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 626898 + ... + 705089.

It is an arithmetic number, because the mean of its divisors is an integer number (2272704525).

Almost surely, 252075363752 is an apocalyptic number.

It is an amenable number.

52075363752 is an abundant number, since it is smaller than the sum of its proper divisors (93377725848).

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

52075363752 is a wasteful number, since it uses less digits than its factorization.

52075363752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332183 (or 1332173 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

It can be divided in two parts, 52075363 and 752, that added together give a triangular number (52076115 = T10205).

The spelling of 52075363752 in words is "fifty-two billion, seventy-five million, three hundred sixty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1448 1629 2172 3258 4344 4887 6516 9774 13032 19548 39096 1331987 2663974 3995961 5327948 7991922 10655896 11987883 15983844 23975766 31967688 35963649 47951532 71927298 95903064 143854596 241089647 287709192 482179294 723268941 964358588 1446537882 1928717176 2169806823 2893075764 4339613646 5786151528 6509420469 8679227292 13018840938 17358454584 26037681876 52075363752