Search a number
-
+
103404400770672 = 2433317721356091
BaseRepresentation
bin10111100000101110110110…
…100100110111111001110000
3111120010100211110222111012000
4113200232312210313321300
5102023134203044130142
61003531154222134000
730531502306215501
oct2740566644677160
9446110743874160
10103404400770672
112aa47618540401
12b720570721300
134590cbac56ba1
141b76b2a546ba8
15be4bbbe4914c
hex5e0bb6937e70

103404400770672 has 80 divisors (see below), whose sum is σ = 306383409730560. Its totient is φ = 33356258308800.

The previous prime is 103404400770667. The next prime is 103404400770791. The reversal of 103404400770672 is 276077004404301.

103404400770672 is a `hidden beast` number, since 103 + 4 + 0 + 4 + 400 + 7 + 70 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3860664654 + ... + 3860691437.

It is an arithmetic number, because the mean of its divisors is an integer number (3829792621632).

Almost surely, 2103404400770672 is an apocalyptic number.

103404400770672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103404400770672 is an abundant number, since it is smaller than the sum of its proper divisors (202979008959888).

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

103404400770672 is a wasteful number, since it uses less digits than its factorization.

103404400770672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7721356139 (or 7721356127 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 103404400770672 in words is "one hundred three trillion, four hundred four billion, four hundred million, seven hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 7721356091 15442712182 23164068273 30885424364 46328136546 61770848728 69492204819 92656273092 123541697456 138984409638 185312546184 208476614457 239362038821 277968819276 370625092368 416953228914 478724077642 555937638552 718086116463 833906457828 957448155284 1111875277104 1436172232926 1667812915656 1914896310568 2154258349389 2872344465852 3335625831312 3829792621136 4308516698778 5744688931704 6462775048167 8617033397556 11489377863408 12925550096334 17234066795112 25851100192668 34468133590224 51702200385336 103404400770672