Search a number
-
+
4780117513476 = 2233412669940433
BaseRepresentation
bin100010110001111010100…
…1101001101010100000100
3121220222022121102110212000
41011203311031031110010
51111304140040412401
614055542231425300
71002231524315124
oct105436515152404
917828277373760
104780117513476
11158326679aa18
12652503825230
132889bc833686
14127504c4cc84
158451d9e5186
hex458f534d504

4780117513476 has 96 divisors (see below), whose sum is σ = 12695952528000. Its totient is φ = 1554413091840.

The previous prime is 4780117513469. The next prime is 4780117513477. The reversal of 4780117513476 is 6743157110874.

4780117513476 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 117 + 51 + 3 + 476 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4780117513477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118202956 + ... + 118243388.

It is an arithmetic number, because the mean of its divisors is an integer number (132249505500).

Almost surely, 24780117513476 is an apocalyptic number.

It is an amenable number.

4780117513476 is an abundant number, since it is smaller than the sum of its proper divisors (7915835014524).

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

4780117513476 is a wasteful number, since it uses less digits than its factorization.

4780117513476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67186 (or 67178 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 4780117513476 in words is "four trillion, seven hundred eighty billion, one hundred seventeen million, five hundred thirteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 26699 40433 53398 80097 80866 106796 121299 160194 161732 240291 242598 320388 363897 480582 485196 720873 727794 961164 1091691 1094659 1441746 1455588 1657753 2183382 2189318 2883492 3283977 3315506 4366764 4378636 4973259 6567954 6631012 9851931 9946518 13135908 14919777 19703862 19893036 29555793 29839554 39407724 44759331 59111586 59679108 89518662 118223172 179037324 1079520667 2159041334 3238562001 4318082668 6477124002 9715686003 12954248004 19431372006 29147058009 38862744012 44260347347 58294116018 88520694694 116588232036 132781042041 177041389388 265562084082 398343126123 531124168164 796686252246 1195029378369 1593372504492 2390058756738 4780117513476