Search a number
-
+
122916573736 = 231113118675711
BaseRepresentation
bin111001001111001100…
…1100001001000101000
3102202021021012220111221
41302132121201020220
54003213120324421
6132244520431424
711610662431555
oct1623631411050
9382237186457
10122916573736
1148146224140
121b9a4618574
13b78b50bb48
145d40833a2c
1532e606a841
hex1c9e661228

122916573736 has 64 divisors (see below), whose sum is σ = 253519580160. Its totient is φ = 55405272000.

The previous prime is 122916573721. The next prime is 122916573749. The reversal of 122916573736 is 637375619221.

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, 21519921 + ... + 21525631.

It is an arithmetic number, because the mean of its divisors is an integer number (3961243440).

Almost surely, 2122916573736 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 122916573736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126759790080).

122916573736 is an abundant number, since it is smaller than the sum of its proper divisors (130603006424).

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

122916573736 is a wasteful number, since it uses less digits than its factorization.

122916573736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7722 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 52.

The spelling of 122916573736 in words is "one hundred twenty-two billion, nine hundred sixteen million, five hundred seventy-three thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 1867 2882 3734 5711 5764 7468 11422 11528 14936 20537 22844 41074 45688 62821 82148 125642 164296 244577 251284 489154 502568 748141 978308 1496282 1956616 2690347 2992564 5380694 5985128 8229551 10662437 10761388 16459102 21324874 21522776 32918204 42649748 65836408 85299496 117286807 234573614 469147228 938294456 1396779247 2793558494 5587116988 11174233976 15364571717 30729143434 61458286868 122916573736