Search a number
-
+
8139295038 = 2372179211733
BaseRepresentation
bin1111001010010001…
…11100100100111110
3210000020112000202210
413211020330210332
5113132124420123
63423353201250
7405461603100
oct74510744476
923006460683
108139295038
1134a7468916
1216b1a00226
139c9364614
14572da7570
15329862e93
hex1e523c93e

8139295038 has 96 divisors (see below), whose sum is σ = 19158456960. Its totient is φ = 2298421440.

The previous prime is 8139294991. The next prime is 8139295057. The reversal of 8139295038 is 8305929318.

It is a happy number.

It is a super-2 number, since 2×81392950382 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11103720 + ... + 11104452.

It is an arithmetic number, because the mean of its divisors is an integer number (199567260).

Almost surely, 28139295038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8139295038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579228480).

8139295038 is an abundant number, since it is smaller than the sum of its proper divisors (11019161922).

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

8139295038 is a wasteful number, since it uses less digits than its factorization.

8139295038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 8139295038 is about 90218.0416435648. The cubic root of 8139295038 is about 2011.5411921686.

The spelling of 8139295038 in words is "eight billion, one hundred thirty-nine million, two hundred ninety-five thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 179 211 294 358 422 537 633 733 1074 1253 1266 1466 1477 2199 2506 2954 3759 4398 4431 5131 7518 8771 8862 10262 10339 15393 17542 20678 26313 30786 31017 35917 37769 52626 62034 71834 75538 107751 113307 131207 154663 215502 226614 262414 264383 309326 393621 463989 528766 787242 793149 918449 927978 1082641 1586298 1836898 1850681 2165282 2755347 3247923 3701362 5510694 5552043 6429143 6495846 7578487 11104086 12858286 15156974 19287429 22735461 27684677 38574858 45470922 55369354 83054031 166108062 193792739 387585478 581378217 1162756434 1356549173 2713098346 4069647519 8139295038