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5185406504 = 2317611733613
BaseRepresentation
bin1001101010001001…
…10000011000101000
3111101101020221110202
410311010300120220
541104431002004
62214313131332
7242333141135
oct46504603050
914341227422
105185406504
112221032723
1210086b9b48
136483a6595
1437296558c
1520537bb1e
hex135130628

5185406504 has 64 divisors (see below), whose sum is σ = 10526714640. Its totient is φ = 2385653760.

The previous prime is 5185406497. The next prime is 5185406579. The reversal of 5185406504 is 4056045815.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1149345604 + 4036060900 = 33902^2 + 63530^2 .

It is a super-2 number, since 2×51854065042 = 53776881223451004032, which contains 22 as substring.

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, 1433402 + ... + 1437014.

Almost surely, 25185406504 is an apocalyptic number.

It is an amenable number.

5185406504 is an abundant number, since it is smaller than the sum of its proper divisors (5341308136).

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

5185406504 is a wasteful number, since it uses less digits than its factorization.

5185406504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 5185406504 is about 72009.7667264657. The cubic root of 5185406504 is about 1730.8559925756.

The spelling of 5185406504 in words is "five billion, one hundred eighty-five million, four hundred six thousand, five hundred four".

Divisors: 1 2 4 8 17 34 61 68 122 136 173 244 346 488 692 1037 1384 2074 2941 3613 4148 5882 7226 8296 10553 11764 14452 21106 23528 28904 42212 61421 84424 122842 179401 220393 245684 358802 440786 491368 625049 717604 881572 1250098 1435208 1763144 2500196 3746681 5000392 7493362 10625833 14986724 21251666 29973448 38127989 42503332 76255978 85006664 152511956 305023912 648175813 1296351626 2592703252 5185406504