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5112642816 = 283219116791
BaseRepresentation
bin1001100001011110…
…01011110100000000
3111012022100011110100
410300233023310000
540432314032231
62203153402400
7240460514121
oct46057136400
914168304410
105112642816
112193a54246
12ba8269400
136362aab48
14367024048
151edca71e6
hex130bcbd00

5112642816 has 108 divisors (see below), whose sum is σ = 15516985120. Its totient is φ = 1614504960.

The previous prime is 5112642803. The next prime is 5112642823. The reversal of 5112642816 is 6182462115.

It is a happy number.

5112642816 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 642 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×51126428162 = 52278233127992819712, 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, 14620 + ... + 102171.

Almost surely, 25112642816 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 5112642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758492560).

5112642816 is an abundant number, since it is smaller than the sum of its proper divisors (10404342304).

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

5112642816 is a wasteful number, since it uses less digits than its factorization.

5112642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116832 (or 116815 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 5112642816 is about 71502.7469122690. The cubic root of 5112642816 is about 1722.7218056371.

The spelling of 5112642816 in words is "five billion, one hundred twelve million, six hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 116791 233582 350373 467164 700746 934328 1051119 1401492 1868656 2102238 2219029 2802984 3737312 4204476 4438058 5605968 6657087 7474624 8408952 8876116 11211936 13314174 14949248 16817904 17752232 19971261 22423872 26628348 29898496 33635808 35504464 39942522 44847744 53256696 67271616 71008928 79885044 89695488 106513392 134543232 142017856 159770088 213026784 269086464 284035712 319540176 426053568 568071424 639080352 852107136 1278160704 1704214272 2556321408 5112642816