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5417125632 = 28329724239
BaseRepresentation
bin1010000101110001…
…01100011100000000
3111222112021111100200
411002320230130000
542043241010012
62253311445200
7251145544122
oct50270543400
914875244320
105417125632
11232a90a736
121072226800
136843b81a9
14395643212
1521a89e3dc
hex142e2c700

5417125632 has 108 divisors (see below), whose sum is σ = 15780579360. Its totient is φ = 1787019264.

The previous prime is 5417125627. The next prime is 5417125643. The reversal of 5417125632 is 2365217145.

5417125632 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 12 + 5 + 632 = 666.

It is a super-2 number, since 2×54171256322 = 58690500225742798848, 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 11 ways as a sum of consecutive naturals, for example, 211369 + ... + 235607.

Almost surely, 25417125632 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 5417125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890289680).

5417125632 is an abundant number, since it is smaller than the sum of its proper divisors (10363453728).

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

5417125632 is a wasteful number, since it uses less digits than its factorization.

5417125632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24358 (or 24341 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5417125632 is about 73601.1252087901. The cubic root of 5417125632 is about 1756.2633395187.

The spelling of 5417125632 in words is "five billion, four hundred seventeen million, one hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 576 582 768 776 873 1152 1164 1552 1746 2304 2328 3104 3492 4656 6208 6984 9312 12416 13968 18624 24239 24832 27936 37248 48478 55872 72717 74496 96956 111744 145434 193912 218151 223488 290868 387824 436302 581736 775648 872604 1163472 1551296 1745208 2326944 2351183 3102592 3490416 4653888 4702366 6205184 6980832 7053549 9307776 9404732 13961664 14107098 18615552 18809464 21160647 27923328 28214196 37618928 42321294 55846656 56428392 75237856 84642588 112856784 150475712 169285176 225713568 300951424 338570352 451427136 601902848 677140704 902854272 1354281408 1805708544 2708562816 5417125632