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5198268960 = 25345401101
BaseRepresentation
bin1001101011101011…
…10100101000100000
3111102021110102110000
410311311310220200
541121224101320
62215452540000
7242550362043
oct46565645040
914367412400
105198268960
112228318455
121010a81600
1364ac5acc1
14374552c5a
1520656cc90
hex135d74a20

5198268960 has 120 divisors (see below), whose sum is σ = 18345603276. Its totient is φ = 1386201600.

The previous prime is 5198268931. The next prime is 5198268973. The reversal of 5198268960 is 698628915.

It is a happy number.

5198268960 is a `hidden beast` number, since 519 + 8 + 2 + 68 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4614756624 + 583512336 = 67932^2 + 24156^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5198268897 and 5198268906.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187591 + ... + 213510.

Almost surely, 25198268960 is an apocalyptic number.

It is an amenable number.

5198268960 is an abundant number, since it is smaller than the sum of its proper divisors (13147334316).

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

5198268960 is a wasteful number, since it uses less digits than its factorization.

5198268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401128 (or 401111 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 5198268960 is about 72099.0219073740. The cubic root of 5198268960 is about 1732.2859464559.

The spelling of 5198268960 in words is "five billion, one hundred ninety-eight million, two hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 401101 802202 1203303 1604404 2005505 2406606 3208808 3609909 4011010 4813212 6016515 6417616 7219818 8022020 9626424 10829727 12033030 12835232 14439636 16044040 18049545 19252848 21659454 24066060 28879272 32088080 32489181 36099090 38505696 43318908 48132120 54148635 57758544 64176160 64978362 72198180 86637816 96264240 108297270 115517088 129956724 144396360 162445905 173275632 192528480 216594540 259913448 288792720 324891810 346551264 433189080 519826896 577585440 649783620 866378160 1039653792 1299567240 1732756320 2599134480 5198268960