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13703841792 = 2113482609
BaseRepresentation
bin11001100001101000…
…00000100000000000
31022101001012021220000
430300310000200000
5211031140414132
610143452520000
7663410506344
oct146064004000
938331167800
1013703841792
1158a2509193
1227a5480000
1313a5157934
14940023624
1555313287c
hex330d00800

13703841792 has 120 divisors (see below), whose sum is σ = 40932841950. Its totient is φ = 4567891968.

The previous prime is 13703841779. The next prime is 13703841817. The reversal of 13703841792 is 29714830731.

It can be written as a sum of positive squares in only one way, i.e., 13470852096 + 232989696 = 116064^2 + 15264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 124584 + ... + 207192.

Almost surely, 213703841792 is an apocalyptic number.

13703841792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13703841792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466420975).

13703841792 is an abundant number, since it is smaller than the sum of its proper divisors (27229000158).

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

13703841792 is an frugal number, since it uses more digits than its factorization.

13703841792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82643 (or 82614 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13703841792 in words is "thirteen billion, seven hundred three million, eight hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 13824 18432 20736 27648 41472 55296 82609 82944 165218 165888 247827 330436 495654 660872 743481 991308 1321744 1486962 1982616 2230443 2643488 2973924 3965232 4460886 5286976 5947848 6691329 7930464 8921772 10573952 11895696 13382658 15860928 17843544 21147904 23791392 26765316 31721856 35687088 42295808 47582784 53530632 63443712 71374176 84591616 95165568 107061264 126887424 142748352 169183232 190331136 214122528 253774848 285496704 380662272 428245056 507549696 570993408 761324544 856490112 1141986816 1522649088 1712980224 2283973632 3425960448 4567947264 6851920896 13703841792