Search a number
-
+
56949095775012 = 223723717627148501
BaseRepresentation
bin11001111001011011111101…
…00111111011101100100100
321110122021120101211200101220
430330231332213323230210
524431023222004300022
6321042015312420340
714665302453052200
oct1474557647735444
9243567511750356
1056949095775012
1117166a809a5801
126479148b476b0
1325a1379b660cc
14100c4cadb3b00
1568b59b40585c
hex33cb7e9fbb24

56949095775012 has 144 divisors (see below), whose sum is σ = 158763925389888. Its totient is φ = 15830404128000.

The previous prime is 56949095775007. The next prime is 56949095775023. The reversal of 56949095775012 is 21057759094965.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383418762 + ... + 383567262.

It is an arithmetic number, because the mean of its divisors is an integer number (1102527259652).

Almost surely, 256949095775012 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 56949095775012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79381962694944).

56949095775012 is an abundant number, since it is smaller than the sum of its proper divisors (101814829614876).

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

56949095775012 is a wasteful number, since it uses less digits than its factorization.

56949095775012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166186 (or 166177 counting only the distinct ones).

The product of its (nonzero) digits is 214326000, while the sum is 69.

The spelling of 56949095775012 in words is "fifty-six trillion, nine hundred forty-nine billion, ninety-five million, seven hundred seventy-five thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3108 3626 5439 7252 10878 17627 21756 35254 52881 70508 105762 123389 148501 211524 246778 297002 370167 445503 493556 594004 652199 740334 863723 891006 1039507 1304398 1480668 1727446 1782012 1956597 2079014 2591169 2608796 3118521 3454892 3913194 4158028 4565393 5182338 5494537 6237042 7276549 7826388 9130786 10364676 10989074 12474084 13696179 14553098 16483611 18261572 21829647 21978148 27392358 29106196 31957751 32967222 38461759 43659294 54784716 63915502 65934444 76923518 87318588 95873253 115385277 127831004 153847036 191746506 230770554 269232313 383493012 461541108 538464626 807696939 1076929252 1615393878 2617627127 3230787756 5235254254 7852881381 10470508508 15705762762 18323389889 31411525524 36646779778 54970169667 73293559556 96852203699 109940339334 128263729223 193704407398 219880678668 256527458446 290556611097 384791187669 387408814796 513054916892 581113222194 677965425893 769582375338 1162226444388 1355930851786 1539164750676 2033896277679 2711861703572 4067792555358 4745757981251 8135585110716 9491515962502 14237273943753 18983031925004 28474547887506 56949095775012