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5159014416 = 243510712401
BaseRepresentation
bin1001100111000000…
…00101000000010000
3111022112121002100000
410303200011000100
541031201430131
62211531330000
7241562620233
oct46340050020
914275532300
105159014416
112208146986
12bbb8b0900
13642a9586a
1436d25541a
15202db6ce6
hex133805010

5159014416 has 120 divisors (see below), whose sum is σ = 15113970144. Its totient is φ = 1703462400.

The previous prime is 5159014409. The next prime is 5159014423. The reversal of 5159014416 is 6144109515.

5159014416 is a `hidden beast` number, since 51 + 590 + 1 + 4 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (5159014409) and next prime (5159014423).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409816 + ... + 422216.

Almost surely, 25159014416 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 5159014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7556985072).

5159014416 is an abundant number, since it is smaller than the sum of its proper divisors (9954955728).

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

5159014416 is a wasteful number, since it uses less digits than its factorization.

5159014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12531 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5159014416 is about 71826.2794247342. The cubic root of 5159014416 is about 1727.9144922966.

The spelling of 5159014416 in words is "five billion, one hundred fifty-nine million, fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 243 321 324 428 432 486 642 648 856 963 972 1284 1296 1712 1926 1944 2568 2889 3852 3888 5136 5778 7704 8667 11556 12401 15408 17334 23112 24802 26001 34668 37203 46224 49604 52002 69336 74406 99208 104004 111609 138672 148812 198416 208008 223218 297624 334827 416016 446436 595248 669654 892872 1004481 1326907 1339308 1785744 2008962 2653814 2678616 3013443 3980721 4017924 5307628 5357232 6026886 7961442 8035848 10615256 11942163 12053772 15922884 16071696 21230512 23884326 24107544 31845768 35826489 47768652 48215088 63691536 71652978 95537304 107479467 143305956 191074608 214958934 286611912 322438401 429917868 573223824 644876802 859835736 1289753604 1719671472 2579507208 5159014416