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3013220122848 = 2532134119629587
BaseRepresentation
bin101011110110010001111…
…010100100000011100000
3101200001122111021002200200
4223312101322210003200
5343332033322412343
610224130524345200
7430461255306225
oct53662172440340
911601574232620
103013220122848
11a61999228741
12407b953a5200
1318b1b76b31c0
14a5baa9a194c
15535aa1774d3
hex2bd91ea40e0

3013220122848 has 144 divisors (see below), whose sum is σ = 9453059952336. Its totient is φ = 904531322880.

The previous prime is 3013220122831. The next prime is 3013220122849. The reversal of 3013220122848 is 8482210223103.

3013220122848 is a `hidden beast` number, since 301 + 3 + 220 + 122 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×30132201228482 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013220122849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9661290 + ... + 9968297.

It is an arithmetic number, because the mean of its divisors is an integer number (65646249669).

Almost surely, 23013220122848 is an apocalyptic number.

It is an amenable number.

3013220122848 is an abundant number, since it is smaller than the sum of its proper divisors (6439839829488).

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

3013220122848 is a wasteful number, since it uses less digits than its factorization.

3013220122848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19629657 (or 19629646 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3013220122848 in words is "three trillion, thirteen billion, two hundred twenty million, one hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 72 78 82 96 104 117 123 144 156 164 208 234 246 288 312 328 369 416 468 492 533 624 656 738 936 984 1066 1248 1312 1476 1599 1872 1968 2132 2952 3198 3744 3936 4264 4797 5904 6396 8528 9594 11808 12792 17056 19188 25584 38376 51168 76752 153504 19629587 39259174 58888761 78518348 117777522 157036696 176666283 235555044 255184631 314073392 353332566 471110088 510369262 628146784 706665132 765553893 804813067 942220176 1020738524 1413330264 1531107786 1609626134 1884440352 2041477048 2296661679 2414439201 2826660528 3062215572 3219252268 4082954096 4593323358 4828878402 5653321056 6124431144 6438504536 7243317603 8165908192 9186646716 9657756804 10462569871 12248862288 12877009072 14486635206 18373293432 19315513608 20925139742 24497724576 25754018144 28973270412 31387709613 36746586864 38631027216 41850279484 57946540824 62775419226 73493173728 77262054432 83700558968 94163128839 115893081648 125550838452 167401117936 188326257678 231786163296 251101676904 334802235872 376652515356 502203353808 753305030712 1004406707616 1506610061424 3013220122848