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5079117696 = 273191933607
BaseRepresentation
bin1001011101011110…
…10010111110000000
3111002222020220122020
410232233102332000
540400223231241
62155555041440
7236602534212
oct45657227600
914088226566
105079117696
112177036334
12b98ba0280
1362c3704b3
143627b85b2
151ead83b66
hex12ebd2f80

5079117696 has 128 divisors (see below), whose sum is σ = 14279020800. Its totient is φ = 1595179008.

The previous prime is 5079117643. The next prime is 5079117707. The reversal of 5079117696 is 6967119705.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406325 + ... + 1409931.

It is an arithmetic number, because the mean of its divisors is an integer number (111554850).

Almost surely, 25079117696 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 5079117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139510400).

5079117696 is an abundant number, since it is smaller than the sum of its proper divisors (9199903104).

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

5079117696 is a wasteful number, since it uses less digits than its factorization.

5079117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 51.

The square root of 5079117696 is about 71267.9289442313. The cubic root of 5079117696 is about 1718.9480786264.

The spelling of 5079117696 in words is "five billion, seventy-nine million, one hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 193 228 304 384 386 456 579 608 772 912 1158 1216 1544 1824 2316 2432 3088 3607 3648 3667 4632 6176 7214 7296 7334 9264 10821 11001 12352 14428 14668 18528 21642 22002 24704 28856 29336 37056 43284 44004 57712 58672 68533 74112 86568 88008 115424 117344 137066 173136 176016 205599 230848 234688 274132 346272 352032 411198 461696 469376 548264 692544 696151 704064 822396 1096528 1385088 1392302 1408128 1644792 2088453 2193056 2784604 3289584 4176906 4386112 5569208 6579168 8353812 8772224 11138416 13158336 13226869 16707624 22276832 26316672 26453738 33415248 39680607 44553664 52907476 66830496 79361214 89107328 105814952 133660992 158722428 211629904 267321984 317444856 423259808 634889712 846519616 1269779424 1693039232 2539558848 5079117696