Search a number
-
+
17138083840 = 21152372767
BaseRepresentation
bin11111111011000001…
…00110100000000000
31122020101022212022221
433331200212200000
5240044322140330
611512332340424
71144461211003
oct177540464000
948211285287
1017138083840
1172a5002059
1233a3614714
1318017ac517
14b8818553a
156a48a0b7a
hex3fd826800

17138083840 has 96 divisors (see below), whose sum is σ = 42909834240. Its totient is φ = 6557089792.

The previous prime is 17138083829. The next prime is 17138083883. The reversal of 17138083840 is 4838083171.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199137 + ... + 271903.

It is an arithmetic number, because the mean of its divisors is an integer number (446977440).

Almost surely, 217138083840 is an apocalyptic number.

17138083840 is a gapful number since it is divisible by the number (10) 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 17138083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21454917120).

17138083840 is an abundant number, since it is smaller than the sum of its proper divisors (25771750400).

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

17138083840 is an equidigital number, since it uses as much as digits as its factorization.

17138083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72817 (or 72797 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 17138083840 in words is "seventeen billion, one hundred thirty-eight million, eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1024 1280 1472 1840 2048 2560 2944 3680 5120 5888 7360 10240 11776 14720 23552 29440 47104 58880 72767 117760 145534 235520 291068 363835 582136 727670 1164272 1455340 1673641 2328544 2910680 3347282 4657088 5821360 6694564 8368205 9314176 11642720 13389128 16736410 18628352 23285440 26778256 33472820 37256704 46570880 53556512 66945640 74513408 93141760 107113024 133891280 149026816 186283520 214226048 267782560 372567040 428452096 535565120 745134080 856904192 1071130240 1713808384 2142260480 3427616768 4284520960 8569041920 17138083840