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56620681584 = 2432923593907
BaseRepresentation
bin110100101110110110…
…110000100101110000
312102010222210122100220
4310232312300211300
51411424343302314
642002225413040
74043053565265
oct645666604560
9172128718326
1056620681584
1122015998125
12ab8219a180
1354545c5aac
142a51b4b26c
151715c333a9
hexd2edb0970

56620681584 has 120 divisors (see below), whose sum is σ = 151948667520. Its totient is φ = 18167337216.

The previous prime is 56620681573. The next prime is 56620681589. The reversal of 56620681584 is 48518602665.

56620681584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56620681589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14490159 + ... + 14494065.

It is an arithmetic number, because the mean of its divisors is an integer number (1266238896).

Almost surely, 256620681584 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 56620681584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75974333760).

56620681584 is an abundant number, since it is smaller than the sum of its proper divisors (95327985936).

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

56620681584 is a wasteful number, since it uses less digits than its factorization.

56620681584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 56620681584 in words is "fifty-six billion, six hundred twenty million, six hundred eighty-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 359 464 696 718 841 1077 1392 1436 1682 2154 2523 2872 3364 3907 4308 5046 5744 6728 7814 8616 10092 10411 11721 13456 15628 17232 20184 20822 23442 31233 31256 40368 41644 46884 62466 62512 83288 93768 113303 124932 166576 187536 226606 249864 301919 339909 453212 499728 603838 679818 905757 906424 1207676 1359636 1402613 1811514 1812848 2415352 2719272 2805226 3285787 3623028 4207839 4830704 5438544 5610452 6571574 7246056 8415678 9857361 11220904 13143148 14492112 16831356 19714722 22441808 26286296 33662712 39429444 40675777 52572592 67325424 78858888 81351554 122027331 157717776 162703108 244054662 325406216 488109324 650812432 976218648 1179597533 1952437296 2359195066 3538792599 4718390132 7077585198 9436780264 14155170396 18873560528 28310340792 56620681584