Search a number
-
+
75495866490180 = 22335317441032051
BaseRepresentation
bin10001001010100111000000…
…010011011101110101000100
3100220022100000202000112222000
4101022213000103131311010
534343411013310141210
6424322153335505300
721621252644021523
oct2112470023356504
9326270022015860
1075495866490180
1122067687507a64
128573730b28230
1333182ca750126
14149003b4864ba
158adc4a001ac0
hex44a9c04ddd44

75495866490180 has 96 divisors (see below), whose sum is σ = 235616963460480. Its totient is φ = 20068722403200.

The previous prime is 75495866490173. The next prime is 75495866490193. The reversal of 75495866490180 is 8109466859457.

75495866490180 is a `hidden beast` number, since 7 + 5 + 4 + 9 + 58 + 6 + 6 + 490 + 1 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75495866490099 and 75495866490108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220344846 + ... + 220687205.

It is an arithmetic number, because the mean of its divisors is an integer number (2454343369380).

Almost surely, 275495866490180 is an apocalyptic number.

It is an amenable number.

75495866490180 is an abundant number, since it is smaller than the sum of its proper divisors (160121096970300).

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

75495866490180 is a wasteful number, since it uses less digits than its factorization.

75495866490180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441032386 (or 441032378 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 75495866490180 in words is "seventy-five trillion, four hundred ninety-five billion, eight hundred sixty-six million, four hundred ninety thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 317 540 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 8559 9510 11412 14265 17118 19020 28530 34236 42795 57060 85590 171180 441032051 882064102 1323096153 1764128204 2205160255 2646192306 3969288459 4410320510 5292384612 6615480765 7938576918 8820641020 11907865377 13230961530 15877153836 19846442295 23815730754 26461923060 39692884590 47631461508 59539326885 79385769180 119078653770 139807160167 238157307540 279614320334 419421480501 559228640668 699035800835 838842961002 1258264441503 1398071601670 1677685922004 2097107402505 2516528883006 2796143203340 3774793324509 4194214805010 5033057766012 6291322207515 7549586649018 8388429610020 12582644415030 15099173298036 18873966622545 25165288830060 37747933245090 75495866490180