Search a number
-
+
3573837990072 = 2332717340988141
BaseRepresentation
bin110100000000011001010…
…110000000100010111000
3110122122200220200112011200
4310000121112000202320
5432023210011140242
611333444251054200
7516126015456510
oct64003126004270
913578626615150
103573837990072
111158724414a69
12498773141360
131cc01c2a145c
14c4d90752840
1562e6c8aa04c
hex340195808b8

3573837990072 has 96 divisors (see below), whose sum is σ = 11125821264480. Its totient is φ = 1015194251520.

The previous prime is 3573837990059. The next prime is 3573837990077. The reversal of 3573837990072 is 2700997383753.

3573837990072 is a `hidden beast` number, since 35 + 7 + 383 + 79 + 90 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3573837989991 and 3573837990009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3573837990077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20406879 + ... + 20581262.

It is an arithmetic number, because the mean of its divisors is an integer number (115893971505).

Almost surely, 23573837990072 is an apocalyptic number.

It is an amenable number.

3573837990072 is an abundant number, since it is smaller than the sum of its proper divisors (7551983274408).

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

3573837990072 is a wasteful number, since it uses less digits than its factorization.

3573837990072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40988333 (or 40988326 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 3573837990072 in words is "three trillion, five hundred seventy-three billion, eight hundred thirty-seven million, nine hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 173 252 346 504 519 692 1038 1211 1384 1557 2076 2422 3114 3633 4152 4844 6228 7266 9688 10899 12456 14532 21798 29064 43596 87192 40988141 81976282 122964423 163952564 245928846 286916987 327905128 368893269 491857692 573833974 737786538 860750961 983715384 1147667948 1475573076 1721501922 2295335896 2582252883 2951146152 3443003844 5164505766 6886007688 7090948393 10329011532 14181896786 20658023064 21272845179 28363793572 42545690358 49636638751 56727587144 63818535537 85091380716 99273277502 127637071074 148909916253 170182761432 198546555004 255274142148 297819832506 397093110008 446729748759 510548284296 595639665012 893459497518 1191279330024 1786918995036 3573837990072