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75683311236 = 223213235272
BaseRepresentation
bin100011001111100010…
…0111010111010000100
321020100111111120020100
41012133010322322010
52214444411424421
654433552004100
75316334350111
oct1063704727204
9236314446210
1075683311236
112a10828aa05
1212802230630
1371a1a21400
14393d749908
151e7e53ec26
hex119f13ae84

75683311236 has 81 divisors (see below), whose sum is σ = 207217558821. Its totient is φ = 23280570144.

The previous prime is 75683311229. The next prime is 75683311243. The reversal of 75683311236 is 63211338657.

The square root of 75683311236 is 275106.

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

It is an interprime number because it is at equal distance from previous prime (75683311229) and next prime (75683311243).

It can be written as a sum of positive squares in only one way, i.e., 11195756100 + 64487555136 = 105810^2 + 253944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75683311191 and 75683311200.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21456505 + ... + 21460031.

Almost surely, 275683311236 is an apocalyptic number.

75683311236 is the 275106-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75683311236

75683311236 is an abundant number, since it is smaller than the sum of its proper divisors (131534247585).

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

75683311236 is a wasteful number, since it uses less digits than its factorization.

75683311236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 3545 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 75683311236 in words is "seventy-five billion, six hundred eighty-three million, three hundred eleven thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 3527 6084 7054 10581 14108 21162 31743 42324 45851 63486 91702 126972 137553 183404 275106 412659 550212 596063 825318 1192126 1650636 1788189 2384252 3576378 5364567 7152756 10729134 12439729 21458268 24879458 37319187 49758916 74638374 111957561 149276748 161716477 223915122 323432954 447830244 485149431 646865908 970298862 1455448293 1940597724 2102314201 2910896586 4204628402 5821793172 6306942603 8409256804 12613885206 18920827809 25227770412 37841655618 75683311236