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5134039632 = 243371916529
BaseRepresentation
bin1001100100000001…
…10011101001010000
3111020210121020101000
410302000303221100
541003303232012
62205240142000
7241140421401
oct46200635120
914223536330
105134039632
1121a5038a67
12bb3467900
1363a85cc97
14369bd39a8
15200ad1ddc
hex132033a50

5134039632 has 80 divisors (see below), whose sum is σ = 14757984000. Its totient is φ = 1708862976.

The previous prime is 5134039583. The next prime is 5134039633. The reversal of 5134039632 is 2369304315.

It is a happy number.

5134039632 is a `hidden beast` number, since 5 + 13 + 4 + 0 + 3 + 9 + 632 = 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 (5134039633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302344 + ... + 318872.

It is an arithmetic number, because the mean of its divisors is an integer number (184474800).

Almost surely, 25134039632 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 5134039632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378992000).

5134039632 is an abundant number, since it is smaller than the sum of its proper divisors (9623944368).

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

5134039632 is a wasteful number, since it uses less digits than its factorization.

5134039632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17265 (or 17253 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5134039632 is about 71652.2130293266. The cubic root of 5134039632 is about 1725.1217033226.

The spelling of 5134039632 in words is "five billion, one hundred thirty-four million, thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 719 1438 2157 2876 4314 5752 6471 8628 11504 12942 16529 17256 19413 25884 33058 34512 38826 49587 51768 66116 77652 99174 103536 132232 148761 155304 198348 264464 297522 310608 396696 446283 595044 793392 892566 1190088 1785132 2380176 3570264 7140528 11884351 23768702 35653053 47537404 71306106 95074808 106959159 142612212 190149616 213918318 285224424 320877477 427836636 570448848 641754954 855673272 1283509908 1711346544 2567019816 5134039632