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5160278016 = 2113510369
BaseRepresentation
bin1001100111001001…
…11001100000000000
3111022121222021200000
410303210321200000
541032012344031
62212014400000
7241606432215
oct46344714000
914277867600
105160278016
11220892a283
121000200000
13643118a5a
1436d4a3b0c
152030663e6
hex133939800

5160278016 has 144 divisors (see below), whose sum is σ = 15457314600. Its totient is φ = 1719926784.

The previous prime is 5160277973. The next prime is 5160278021. The reversal of 5160278016 is 6108720615.

It is a tau number, because it is divible by the number of its divisors (144).

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, 492480 + ... + 502848.

Almost surely, 25160278016 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 5160278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728657300).

5160278016 is an abundant number, since it is smaller than the sum of its proper divisors (10297036584).

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

5160278016 is an equidigital number, since it uses as much as digits as its factorization.

5160278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5160278016 is about 71835.0751095870. The cubic root of 5160278016 is about 1728.0555537695.

The spelling of 5160278016 in words is "five billion, one hundred sixty million, two hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10368 10369 13824 15552 18432 20736 20738 27648 31104 31107 41472 41476 55296 62208 62214 82944 82952 93321 124416 124428 165888 165904 186642 248832 248856 279963 331808 373284 497664 497712 559926 663616 746568 839889 995424 1119852 1327232 1493136 1679778 1990848 2239704 2519667 2654464 2986272 3359556 3981696 4479408 5039334 5308928 5972544 6719112 7963392 8958816 10078668 10617856 11945088 13438224 15926784 17917632 20157336 21235712 23890176 26876448 31853568 35835264 40314672 47780352 53752896 63707136 71670528 80629344 95560704 107505792 143341056 161258688 191121408 215011584 286682112 322517376 430023168 573364224 645034752 860046336 1290069504 1720092672 2580139008 5160278016