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2704235205012 = 22311291447488207
BaseRepresentation
bin100111010110100000111…
…110101001000110010100
3100120112002210121221202220
4213112200332221012110
5323301233203030022
65430150345302340
7366242316660045
oct47264076510624
910515083557686
102704235205012
11952950301710
12378122a949b0
13168015285183
1494c584528cc
154a523cba85c
hex275a0fa9194

2704235205012 has 96 divisors (see below), whose sum is σ = 7125805854720. Its totient is φ = 790659381120.

The previous prime is 2704235204971. The next prime is 2704235205037. The reversal of 2704235205012 is 2105025324072.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 5295013 + ... + 5783219.

It is an arithmetic number, because the mean of its divisors is an integer number (74227144320).

Almost surely, 22704235205012 is an apocalyptic number.

2704235205012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2704235205012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562902927360).

2704235205012 is an abundant number, since it is smaller than the sum of its proper divisors (4421570649708).

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

2704235205012 is a wasteful number, since it uses less digits than its factorization.

2704235205012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489701 (or 489699 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 2704235205012 in words is "two trillion, seven hundred four billion, two hundred thirty-five million, two hundred five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1447 1914 2894 3828 4341 5788 8682 15917 17364 31834 41963 47751 63668 83926 95502 125889 167852 191004 251778 461593 488207 503556 923186 976414 1384779 1464621 1846372 1952828 2769558 2929242 5370277 5539116 5858484 10740554 14158003 16110831 21481108 28316006 32221662 42474009 56632012 64443324 84948018 155738033 169896036 311476066 467214099 622952132 706435529 934428198 1412871058 1868856396 2119306587 2825742116 4238613174 7770790819 8477226348 15541581638 20486630341 23312372457 31083163276 40973260682 46624744914 61459891023 81946521364 93249489828 122919782046 225352933751 245839564092 450705867502 676058801253 901411735004 1352117602506 2704235205012