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5135743536 = 2437117119571
BaseRepresentation
bin1001100100001110…
…10011101000110000
3111020220210210200120
410302013103220300
541004222243121
62205340450240
7241161046140
oct46207235060
914226723616
105135743536
1121a5aa2150
12bb3b49980
1363b008701
1436a118920
15200d1bbc6
hex1321d3a30

5135743536 has 160 divisors (see below), whose sum is σ = 16774926336. Its totient is φ = 1315104000.

The previous prime is 5135743507. The next prime is 5135743549. The reversal of 5135743536 is 6353475315.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252631 + ... + 272201.

Almost surely, 25135743536 is an apocalyptic number.

5135743536 is a gapful number since it is divisible by the number (56) 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 5135743536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387463168).

5135743536 is an abundant number, since it is smaller than the sum of its proper divisors (11639182800).

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

5135743536 is a wasteful number, since it uses less digits than its factorization.

5135743536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19671 (or 19665 counting only the distinct ones).

The product of its digits is 567000, while the sum is 42.

The square root of 5135743536 is about 71664.1021432628. The cubic root of 5135743536 is about 1725.3125287971.

The spelling of 5135743536 in words is "five billion, one hundred thirty-five million, seven hundred forty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 71 77 84 88 112 132 142 154 168 176 213 231 264 284 308 336 426 462 497 528 568 616 781 852 924 994 1136 1232 1491 1562 1704 1848 1988 2343 2982 3124 3408 3696 3976 4686 5467 5964 6248 7952 9372 10934 11928 12496 16401 18744 19571 21868 23856 32802 37488 39142 43736 58713 65604 78284 87472 117426 131208 136997 156568 215281 234852 262416 273994 313136 410991 430562 469704 547988 645843 821982 861124 939408 1095976 1291686 1389541 1506967 1643964 1722248 2191952 2583372 2779082 3013934 3287928 3444496 4168623 4520901 5166744 5558164 6027868 6575856 8337246 9041802 9726787 10333488 11116328 12055736 15284951 16674492 18083604 19453574 22232656 24111472 29180361 30569902 33348984 36167208 38907148 45854853 58360722 61139804 66697968 72334416 77814296 91709706 106994657 116721444 122279608 155628592 183419412 213989314 233442888 244559216 320983971 366838824 427978628 466885776 641967942 733677648 855957256 1283935884 1711914512 2567871768 5135743536