Search a number
-
+
117276505456 = 241117437312487
BaseRepresentation
bin110110100111000111…
…0010111010101110000
3102012201012102202100011
41231032032113111300
53410140241133311
6125513122304304
711321135564035
oct1551616272560
9365635382304
10117276505456
1145811591390
121a88b7b8094
13b09cb95a36
14596775938c
1530b5d2e321
hex1b4e397570

117276505456 has 160 divisors (see below), whose sum is σ = 272265573888. Its totient is φ = 48329809920.

The previous prime is 117276505417. The next prime is 117276505469. The reversal of 117276505456 is 654505672711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9385645 + ... + 9398131.

Almost surely, 2117276505456 is an apocalyptic number.

117276505456 is a gapful number since it is divisible by the number (16) 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 117276505456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136132786944).

117276505456 is an abundant number, since it is smaller than the sum of its proper divisors (154989068432).

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

117276505456 is a wasteful number, since it uses less digits than its factorization.

117276505456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12639 (or 12633 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 49.

The spelling of 117276505456 in words is "one hundred seventeen billion, two hundred seventy-six million, five hundred five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 43 44 68 73 86 88 136 146 172 176 187 272 292 344 374 473 584 688 731 748 803 946 1168 1241 1462 1496 1606 1892 2482 2924 2992 3139 3212 3784 4964 5848 6278 6424 7568 8041 9928 11696 12487 12556 12848 13651 16082 19856 24974 25112 27302 32164 34529 49948 50224 53363 54604 64328 69058 99896 106726 109208 128656 137357 138116 199792 212279 213452 218416 274714 276232 424558 426904 536941 549428 552464 586993 849116 853808 911551 1073882 1098856 1173986 1698232 1823102 2147764 2197712 2335069 2347972 3396464 3646204 4295528 4670138 4695944 5906351 7292408 8591056 9127997 9340276 9391888 10027061 11812702 14584816 15496367 18255994 18680552 20054122 23625404 30992734 36511988 37361104 39196693 40108244 47250808 61985468 73023976 78393386 80216488 94501616 100407967 123970936 146047952 156786772 160432976 170460037 200815934 247941872 313573544 340920074 401631868 431163623 627147088 666343781 681840148 803263736 862327246 1332687562 1363680296 1606527472 1724654492 2665375124 2727360592 3449308984 5330750248 6898617968 7329781591 10661500496 14659563182 29319126364 58638252728 117276505456