Search a number
-
+
91674956687616 = 2834664912
BaseRepresentation
bin10100110110000010111101…
…001110100110100100000000
3110000121001002100121000110000
4110312002331032212210000
544004000302403000431
6522550521012240000
725211203613433651
oct2466027516464400
9400531070530400
1091674956687616
11272351490a8465
12a347279610000
133c1cbb0233563
14188d13d411528
15a8ea217be9e6
hex5360bd3a6900

91674956687616 has 135 divisors (see below), whose sum is σ = 273362244318163. Its totient is φ = 30557859310080.

The previous prime is 91674956687579. The next prime is 91674956687621. The reversal of 91674956687616 is 61678665947619.

The square root of 91674956687616 is 9574704.

It is a perfect power (a square), and thus also a powerful number.

91674956687616 is a `hidden beast` number, since 9 + 1 + 6 + 7 + 49 + 566 + 8 + 7 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1378724131 + ... + 1378790621.

Almost surely, 291674956687616 is an apocalyptic number.

91674956687616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

91674956687616 is the 9574704-th square number.

It is an amenable number.

91674956687616 is an abundant number, since it is smaller than the sum of its proper divisors (181687287630547).

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

91674956687616 is an frugal number, since it uses more digits than its factorization.

91674956687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133010 (or 66496 counting only the distinct ones).

The product of its digits is 4938071040, while the sum is 81.

91674956687616 divided by its sum of digits (81) gives a square (1131789588736 = 10638562).

The spelling of 91674956687616 in words is "ninety-one trillion, six hundred seventy-four billion, nine hundred fifty-six million, six hundred eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 66491 132982 199473 265964 398946 531928 598419 797892 1063856 1196838 1595784 1795257 2127712 2393676 3191568 3590514 4255424 4787352 5385771 6383136 7181028 8510848 9574704 10771542 12766272 14362056 17021696 19149408 21543084 25532544 28724112 38298816 43086168 51065088 57448224 76597632 86172336 114896448 153195264 172344672 229792896 344689344 459585792 689378688 1378757376 4421053081 8842106162 13263159243 17684212324 26526318486 35368424648 39789477729 53052636972 70736849296 79578955458 106105273944 119368433187 141473698592 159157910916 212210547888 238736866374 282947397184 318315821832 358105299561 424421095776 477473732748 565894794368 636631643664 716210599122 848842191552 954947465496 1131789588736 1273263287328 1432421198244 1697684383104 1909894930992 2546526574656 2864842396488 3395368766208 3819789861984 5093053149312 5729684792976 7639579723968 10186106298624 11459369585952 15279159447936 22918739171904 30558318895872 45837478343808 91674956687616