Search a number
-
+
3058701694272 = 2634784289619
BaseRepresentation
bin101100100000101000110…
…100111111010101000000
3101211102001011212022120000
4230200220310333111000
5400103210113204042
610301052000320000
7433661323265640
oct54405064772500
911742034768500
103058701694272
11a7a2084034a4
12414969013000
131925852c6343
14a808318a520
155486cedd74c
hex2c828d3f540

3058701694272 has 140 divisors (see below), whose sum is σ = 10362228724320. Its totient is φ = 873914759424.

The previous prime is 3058701694219. The next prime is 3058701694273. The reversal of 3058701694272 is 2724961078503.

It is a happy number.

3058701694272 is a `hidden beast` number, since 3 + 0 + 58 + 7 + 0 + 169 + 427 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058701694273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42108522 + ... + 42181097.

It is a 1-persistent number, because it is pandigital, but 2⋅3058701694272 = 6117403388544 is not.

Almost surely, 23058701694272 is an apocalyptic number.

3058701694272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3058701694272 is an abundant number, since it is smaller than the sum of its proper divisors (7303527030048).

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

3058701694272 is an equidigital number, since it uses as much as digits as its factorization.

3058701694272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84289650 (or 84289631 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3058701694272 in words is "three trillion, fifty-eight billion, seven hundred one million, six hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 84289619 168579238 252868857 337158476 505737714 590027333 674316952 758606571 1011475428 1180054666 1348633904 1517213142 1770081999 2022950856 2275819713 2360109332 2697267808 3034426284 3540163998 4045901712 4551639426 4720218664 5310245997 5394535616 6068852568 6827459139 7080327996 8091803424 9103278852 9440437328 10620491994 12137705136 13654918278 14160655992 15930737991 16183606848 18206557704 18880874656 21240983988 24275410272 27309836556 28321311984 31861475982 36413115408 37761749312 42481967976 47792213973 48550820544 54619673112 56642623968 63722951964 72826230816 84963935952 95584427946 109239346224 113285247936 127445903928 145652461632 169927871904 191168855892 218478692448 254891807856 339855743808 382337711784 436957384896 509783615712 764675423568 1019567231424 1529350847136 3058701694272