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5175034956 = 22327139831607
BaseRepresentation
bin1001101000111010…
…01100010001001100
3111100122202000101100
410310131030101030
541044302104311
62213302543100
7242146033320
oct46435142114
914318660340
105175034956
1122161993a3
121005137a90
136461b4880
14371425980
152044cda56
hex13474c44c

5175034956 has 144 divisors (see below), whose sum is σ = 16126516224. Its totient is φ = 1362607488.

The previous prime is 5175034903. The next prime is 5175035009. The reversal of 5175034956 is 6594305715.

5175034956 is a `hidden beast` number, since 51 + 7 + 503 + 4 + 95 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5175034903) and next prime (5175035009).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3219505 + ... + 3221111.

It is an arithmetic number, because the mean of its divisors is an integer number (111989696).

Almost surely, 25175034956 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 5175034956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063258112).

5175034956 is an abundant number, since it is smaller than the sum of its proper divisors (10951481268).

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

5175034956 is a wasteful number, since it uses less digits than its factorization.

5175034956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 5175034956 is about 71937.7158102758. The cubic root of 5175034956 is about 1729.7012365676.

The spelling of 5175034956 in words is "five billion, one hundred seventy-five million, thirty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 983 1092 1607 1638 1966 2949 3214 3276 3932 4821 5898 6428 6881 8847 9642 11249 11796 12779 13762 14463 17694 19284 20643 20891 22498 25558 27524 28926 33747 35388 38337 41286 41782 44996 51116 57852 61929 62673 67494 76674 82572 83564 89453 101241 115011 123858 125346 134988 146237 153348 178906 188019 202482 230022 247716 250692 268359 292474 357812 376038 404964 438711 460044 536718 584948 752076 805077 877422 1073436 1316133 1579681 1610154 1754844 2632266 3159362 3220308 4739043 5264532 6318724 9478086 11057767 14217129 18956172 20535853 22115534 28434258 33173301 41071706 44231068 56868516 61607559 66346602 82143412 99519903 123215118 132693204 143750971 184822677 199039806 246430236 287501942 369645354 398079612 431252913 575003884 739290708 862505826 1293758739 1725011652 2587517478 5175034956