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5036644152 = 2334311571597
BaseRepresentation
bin1001011000011010…
…10001011100111000
3111000000100000220000
410230031101130320
540303340103102
62151440433000
7235545524511
oct45415213470
914000300800
105036644152
112155066331
12b86918760
1362361bb17
1435acbda08
151e729401c
hex12c351738

5036644152 has 160 divisors (see below), whose sum is σ = 14664270720. Its totient is φ = 1613364480.

The previous prime is 5036644133. The next prime is 5036644153. The reversal of 5036644152 is 2514466305.

5036644152 is a `hidden beast` number, since 5 + 0 + 3 + 6 + 644 + 1 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5036644153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3153018 + ... + 3154614.

It is an arithmetic number, because the mean of its divisors is an integer number (91651692).

Almost surely, 25036644152 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 5036644152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332135360).

5036644152 is an abundant number, since it is smaller than the sum of its proper divisors (9627626568).

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

5036644152 is a wasteful number, since it uses less digits than its factorization.

5036644152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5036644152 is about 70969.3183847781. The cubic root of 5036644152 is about 1714.1431575027.

The spelling of 5036644152 in words is "five billion, thirty-six million, six hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 157 162 186 216 248 279 314 324 372 471 558 628 648 744 837 942 1116 1256 1413 1597 1674 1884 2232 2511 2826 3194 3348 3768 4239 4791 4867 5022 5652 6388 6696 8478 9582 9734 10044 11304 12717 12776 14373 14601 16956 19164 19468 20088 25434 28746 29202 33912 38328 38936 43119 43803 49507 50868 57492 58404 86238 87606 99014 101736 114984 116808 129357 131409 148521 172476 175212 198028 250729 258714 262818 297042 344952 350424 394227 396056 445563 501458 517428 525636 594084 752187 788454 891126 1002916 1034856 1051272 1188168 1336689 1504374 1576908 1782252 2005832 2256561 2673378 3008748 3153816 3564504 4010067 4513122 5346756 6017496 6769683 7772599 8020134 9026244 10693512 13539366 15545198 16040268 18052488 20309049 23317797 27078732 31090396 32080536 40618098 46635594 54157464 62180792 69953391 81236196 93271188 139906782 162472392 186542376 209860173 279813564 419720346 559627128 629580519 839440692 1259161038 1678881384 2518322076 5036644152