Search a number
-
+
75967500042 = 23275591107837
BaseRepresentation
bin100011011000000000…
…1000000111100001010
321021002022020211222200
41012300001000330022
52221040140000132
654522103101030
75326355044650
oct1066001007412
9237068224880
1075967500042
112a243745195
1212881441776
137218874575
1439693a4dd0
151e99478d7c
hex11b0040f0a

75967500042 has 48 divisors (see below), whose sum is σ = 188145389952. Its totient is φ = 21700916640.

The previous prime is 75967500029. The next prime is 75967500053. The reversal of 75967500042 is 24000576957.

75967500042 is a `hidden beast` number, since 7 + 596 + 7 + 50 + 0 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×759675000422 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650548 + ... + 758384.

It is an arithmetic number, because the mean of its divisors is an integer number (3919695624).

Almost surely, 275967500042 is an apocalyptic number.

75967500042 is an abundant number, since it is smaller than the sum of its proper divisors (112177889910).

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

75967500042 is a wasteful number, since it uses less digits than its factorization.

75967500042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113443 (or 113440 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 75967500042 in words is "seventy-five billion, nine hundred sixty-seven million, five hundred thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 5591 11182 16773 33546 39137 50319 78274 100638 107837 117411 215674 234822 323511 352233 647022 704466 754859 970533 1509718 1941066 2264577 4529154 6793731 13587462 602916667 1205833334 1808750001 3617500002 4220416669 5426250003 8440833338 10852500006 12661250007 25322500014 37983750021 75967500042