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74861884881 = 34724321012
BaseRepresentation
bin100010110111000011…
…1011011010111010001
321011020020211210010000
41011232013123113101
52211304120304011
654220250000213
75260101344100
oct1055607332721
9234206753100
1074861884881
1129826645153
1212613116069
1370a07a8b04
1438a2604037
151e32384356
hex116e1db5d1

74861884881 has 135 divisors (see below), whose sum is σ = 134516184363. Its totient is φ = 41369680800.

The previous prime is 74861884861. The next prime is 74861884883. The reversal of 74861884881 is 18848816847.

The square root of 74861884881 is 273609.

It is a perfect power (a square), and thus also a powerful number.

74861884881 is a `hidden beast` number, since 7 + 4 + 8 + 618 + 8 + 4 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71926412481 + 2935472400 = 268191^2 + 54180^2 .

It is not a de Polignac number, because 74861884881 - 25 = 74861884849 is a prime.

It is a super-2 number, since 2×748618848812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (74861884883) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 741206731 + ... + 741206831.

Almost surely, 274861884881 is an apocalyptic number.

74861884881 is the 273609-th square number.

74861884881 is the 136805-th centered octagonal number.

It is an amenable number.

74861884881 is a deficient number, since it is larger than the sum of its proper divisors (59654299482).

74861884881 is an equidigital number, since it uses as much as digits as its factorization.

74861884881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 154 counting only the distinct ones).

The product of its digits is 22020096, while the sum is 63.

The spelling of 74861884881 in words is "seventy-four billion, eight hundred sixty-one million, eight hundred eighty-four thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 27 43 49 63 81 101 129 147 189 301 303 387 441 567 707 903 909 1161 1323 1849 2107 2121 2709 2727 3483 3969 4343 4949 5547 6321 6363 8127 8181 10201 12943 13029 14847 16641 18963 19089 24381 30401 30603 38829 39087 44541 49923 56889 57267 71407 90601 91203 91809 116487 117261 133623 149769 170667 186749 212807 214221 271803 273609 275427 349461 351783 400869 438643 499849 560247 638421 642663 815409 820827 826281 1048383 1307243 1315929 1499547 1680741 1915263 1927989 2446227 2462481 3070501 3921729 3947787 4498641 5042223 5745789 5783967 7338681 9150701 9211503 11765187 11843361 13495923 15126669 17237367 18861649 21493507 27452103 27634509 35295561 35530083 40487769 56584947 64480521 82356309 82903527 105886683 132031543 169754841 193441563 247068927 248710581 396094629 509264523 580324689 741206781 924220801 1188283887 1527793569 1740974067 2772662403 3564851661 8317987209 10694554983 24953961627 74861884881