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56726311563630 = 23256113099788813
BaseRepresentation
bin11001110010111100111111…
…01001100111000101101110
321102211222112012001010122200
430321132133221213011232
524413400441230014010
6320351412513522330
714643224611362012
oct1471363751470556
9242758465033580
1056726311563630
1117090548031345
126441b32b733a6
1325863643ac667
1410017d4d36542
156858aca98cc0
hex33979fa6716e

56726311563630 has 96 divisors (see below), whose sum is σ = 149917887007200. Its totient is φ = 14877877789440.

The previous prime is 56726311563583. The next prime is 56726311563631. The reversal of 56726311563630 is 3636511362765.

56726311563630 is a `hidden beast` number, since 5 + 6 + 7 + 2 + 6 + 3 + 11 + 563 + 63 + 0 = 666.

It is a super-2 number, since 2×567263115636302 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56726311563631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71519104 + ... + 72307916.

It is an arithmetic number, because the mean of its divisors is an integer number (1561644656325).

Almost surely, 256726311563630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56726311563630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74958943503600).

56726311563630 is an abundant number, since it is smaller than the sum of its proper divisors (93191575443570).

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

56726311563630 is a wasteful number, since it uses less digits than its factorization.

56726311563630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801986 (or 801983 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 56726311563630 in words is "fifty-six trillion, seven hundred twenty-six billion, three hundred eleven million, five hundred sixty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 13099 26198 39297 65495 78594 117891 130990 196485 235782 392970 589455 788813 799039 1178910 1577626 1598078 2366439 2397117 3944065 3995195 4732878 4794234 7099317 7191351 7888130 7990390 11832195 11985585 14198634 14382702 23664390 23971170 35496585 35956755 48117593 70993170 71913510 96235186 144352779 240587965 288705558 433058337 481175930 721763895 866116674 1443527790 2165291685 4330583370 10332661487 20665322974 30997984461 51663307435 61995968922 92993953383 103326614870 154989922305 185987906766 309979844610 464969766915 630292350707 929939533830 1260584701414 1890877052121 3151461753535 3781754104242 5672631156363 6302923507070 9454385260605 11345262312726 18908770521210 28363155781815 56726311563630