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5733972504 = 233413701971
BaseRepresentation
bin1010101011100010…
…10111101000011000
3112210121110222120000
411111301113220120
543220344110004
62344550533000
7262043651001
oct52561275030
915717428500
105733972504
112482750457
121140367160
13704c34150
143c57601a8
152385d9c39
hex155c57a18

5733972504 has 160 divisors (see below), whose sum is σ = 17338361040. Its totient is φ = 1759968000.

The previous prime is 5733972499. The next prime is 5733972571. The reversal of 5733972504 is 4052793375.

5733972504 is a `hidden beast` number, since 5 + 7 + 3 + 397 + 250 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5733972504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5904739 + ... + 5905709.

Almost surely, 25733972504 is an apocalyptic number.

5733972504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5733972504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669180520).

5733972504 is an abundant number, since it is smaller than the sum of its proper divisors (11604388536).

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

5733972504 is a wasteful number, since it uses less digits than its factorization.

5733972504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 5733972504 is about 75722.9985143219. The cubic root of 5733972504 is about 1789.8578275188.

The spelling of 5733972504 in words is "five billion, seven hundred thirty-three million, nine hundred seventy-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 701 702 936 971 1053 1402 1404 1942 2103 2106 2804 2808 2913 3884 4206 4212 5608 5826 6309 7768 8412 8424 8739 9113 11652 12618 12623 16824 17478 18226 18927 23304 25236 25246 26217 27339 34956 36452 37854 37869 50472 50492 52434 54678 56781 69912 72904 75708 75738 78651 82017 100984 104868 109356 113562 113607 151416 151476 157302 164034 209736 218712 227124 227214 246051 302952 314604 328068 340821 454248 454428 492102 629208 656136 680671 681642 738153 908856 984204 1022463 1361342 1363284 1476306 1968408 2042013 2044926 2722684 2726568 2952612 4084026 4089852 5445368 5905224 6126039 8168052 8179704 8848723 12252078 16336104 17697446 18378117 24504156 26546169 35394892 36756234 49008312 53092338 55134351 70789784 73512468 79638507 106184676 110268702 147024936 159277014 212369352 220537404 238915521 318554028 441074808 477831042 637108056 716746563 955662084 1433493126 1911324168 2866986252 5733972504