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380713916960 = 25513211867467
BaseRepresentation
bin1011000101001000101…
…00010101101000100000
31100101200121101211200222
411202210110111220200
522214200230320320
6450521512302212
736335305620446
oct5424424255040
91311617354628
10380713916960
111375070987a3
12619503a1968
1329b93b364a0
14145d8a38b96
159d8369d825
hex58a4515a20

380713916960 has 96 divisors (see below), whose sum is σ = 973215819072. Its totient is φ = 139904916480.

The previous prime is 380713916959. The next prime is 380713917047. The reversal of 380713916960 is 69619317083.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5147 + ... + 872613.

It is an arithmetic number, because the mean of its divisors is an integer number (10137664782).

Almost surely, 2380713916960 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 380713916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486607909536).

380713916960 is an abundant number, since it is smaller than the sum of its proper divisors (592501902112).

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

380713916960 is a wasteful number, since it uses less digits than its factorization.

380713916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867706 (or 867698 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 53.

The spelling of 380713916960 in words is "three hundred eighty billion, seven hundred thirteen million, nine hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 211 260 416 422 520 844 1040 1055 1688 2080 2110 2743 3376 4220 5486 6752 8440 10972 13715 16880 21944 27430 33760 43888 54860 87776 109720 219440 438880 867467 1734934 3469868 4337335 6939736 8674670 11277071 13879472 17349340 22554142 27758944 34698680 45108284 56385355 69397360 90216568 112770710 138794720 180433136 183035537 225541420 360866272 366071074 451082840 732142148 902165680 915177685 1464284296 1804331360 1830355370 2379461981 2928568592 3660710740 4758923962 5857137184 7321421480 9517847924 11897309905 14642842960 19035695848 23794619810 29285685920 38071391696 47589239620 76142783392 95178479240 190356958480 380713916960