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5143540608 = 27335328081
BaseRepresentation
bin1001100101001010…
…00011001110000000
3111021110110221021000
410302211003032000
541013221244413
62210215532000
7241314242133
oct46245031600
914243427230
105143540608
1121aa438208
12bb668a000
1363c80866b
1436b18821a
1520185c073
hex132943380

5143540608 has 128 divisors (see below), whose sum is σ = 15467565600. Its totient is φ = 1682104320.

The previous prime is 5143540573. The next prime is 5143540631. The reversal of 5143540608 is 8060453415.

It is a happy number.

5143540608 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 5 + 40 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51435406082 = 52912019972290019328, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169128 + ... + 197208.

Almost surely, 25143540608 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 5143540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733782800).

5143540608 is an abundant number, since it is smaller than the sum of its proper divisors (10324024992).

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

5143540608 is a wasteful number, since it uses less digits than its factorization.

5143540608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28157 (or 28139 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5143540608 is about 71718.4816347920. The cubic root of 5143540608 is about 1726.1852089234.

The spelling of 5143540608 in words is "five billion, one hundred forty-three million, five hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 288 318 384 424 432 477 576 636 848 864 954 1152 1272 1431 1696 1728 1908 2544 2862 3392 3456 3816 5088 5724 6784 7632 10176 11448 15264 20352 22896 28081 30528 45792 56162 61056 84243 91584 112324 168486 183168 224648 252729 336972 449296 505458 673944 758187 898592 1010916 1347888 1488293 1516374 1797184 2021832 2695776 2976586 3032748 3594368 4043664 4464879 5391552 5953172 6065496 8087328 8929758 10783104 11906344 12130992 13394637 16174656 17859516 23812688 24261984 26789274 32349312 35719032 40183911 47625376 48523968 53578548 71438064 80367822 95250752 97047936 107157096 142876128 160735644 190501504 214314192 285752256 321471288 428628384 571504512 642942576 857256768 1285885152 1714513536 2571770304 5143540608