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56754313092 = 22351013131847
BaseRepresentation
bin110100110110110100…
…100001011110000100
312102111022020211100000
4310312310201132010
51412213101004332
642023401521300
74046265462441
oct646664413604
9172438224300
1056754313092
112208436a494
12abbaaa3230
1354761b34a9
142a657b49c8
15172282cb7c
hexd36d21784

56754313092 has 144 divisors (see below), whose sum is σ = 150810371712. Its totient is φ = 18660844800.

The previous prime is 56754313069. The next prime is 56754313093. The reversal of 56754313092 is 29031345765.

56754313092 is a `hidden beast` number, since 5 + 6 + 7 + 543 + 13 + 0 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (56754313093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30726913 + ... + 30728759.

It is an arithmetic number, because the mean of its divisors is an integer number (1047294248).

Almost surely, 256754313092 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 56754313092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75405185856).

56754313092 is an abundant number, since it is smaller than the sum of its proper divisors (94056058620).

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

56754313092 is a wasteful number, since it uses less digits than its factorization.

56754313092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 56754313092 in words is "fifty-six billion, seven hundred fifty-four million, three hundred thirteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 243 303 313 324 404 486 606 626 909 939 972 1212 1252 1818 1847 1878 2727 2817 3636 3694 3756 5454 5541 5634 7388 8181 8451 10908 11082 11268 16362 16623 16902 22164 24543 25353 31613 32724 33246 33804 49086 49869 50706 63226 66492 76059 94839 98172 99738 101412 126452 149607 152118 186547 189678 199476 284517 299214 304236 373094 379356 448821 559641 569034 578111 598428 746188 853551 897642 1119282 1138068 1156222 1678923 1707102 1734333 1795284 2238564 2312444 2560653 3357846 3414204 3468666 5036769 5121306 5202999 6715692 6937332 7681959 10073538 10242612 10405998 15110307 15363918 15608997 20147076 20811996 30220614 30727836 31217994 45330921 46826991 58389211 60441228 62435988 90661842 93653982 116778422 140480973 175167633 181323684 187307964 233556844 280961946 350335266 525502899 561923892 700670532 1051005798 1576508697 2102011596 3153017394 4729526091 6306034788 9459052182 14188578273 18918104364 28377156546 56754313092