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5605100555104 = 25372606721089
BaseRepresentation
bin101000110010000101000…
…0001110000101101100000
3201211211202002120020010201
41101210022001300231200
51213313221220230404
615530540405234544
71115645421421201
oct121441201605540
921754662506121
105605100555104
111871123158656
12766380a02a54
133187356596cb
141554071c55a8
159ac05259ca4
hex5190a070b60

5605100555104 has 72 divisors (see below), whose sum is σ = 11343753970920. Its totient is φ = 2726226948096.

The previous prime is 5605100555101. The next prime is 5605100555113. The reversal of 5605100555104 is 4015550015065.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605100555101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265772592 + ... + 265793680.

It is an arithmetic number, because the mean of its divisors is an integer number (157552138485).

Almost surely, 25605100555104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605100555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671876985460).

5605100555104 is an abundant number, since it is smaller than the sum of its proper divisors (5738653415816).

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

5605100555104 is a wasteful number, since it uses less digits than its factorization.

5605100555104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27240 (or 27195 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 37.

The spelling of 5605100555104 in words is "five trillion, six hundred five billion, one hundred million, five hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1369 2738 5476 6067 10952 12134 21089 21904 24268 42178 43808 48536 84356 97072 168712 194144 224479 337424 448958 674848 780293 897916 1560586 1795832 3121172 3591664 6242344 7183328 8305723 12484688 16611446 24969376 28870841 33222892 57741682 66445784 115483364 127946963 132891568 230966728 255893926 265783136 461933456 511787852 923866912 1023575704 2047151408 4094302816 4734037631 9468075262 18936150524 37872301048 75744602096 151489204192 175159392347 350318784694 700637569388 1401275138776 2802550277552 5605100555104