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3103463742756 = 22313241509916189
BaseRepresentation
bin101101001010010100110…
…110101001110100100100
3101222200120201112222111120
4231022110312221310210
5401321343204232011
610333413410333540
7440134503363006
oct55122466516444
911880521488446
103103463742756
11a97198414aa3
1242157b88a2b0
13196869b22b70
14aa2cbd98376
1555adcac7a06
hex2d294da9d24

3103463742756 has 96 divisors (see below), whose sum is σ = 7832825616000. Its totient is φ = 950704404480.

The previous prime is 3103463742751. The next prime is 3103463742787. The reversal of 3103463742756 is 6572473643013.

It is a junction number, because it is equal to n+sod(n) for n = 3103463742699 and 3103463742708.

It is not an unprimeable number, because it can be changed into a prime (3103463742751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191693910 + ... + 191710098.

It is an arithmetic number, because the mean of its divisors is an integer number (81591933500).

Almost surely, 23103463742756 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 3103463742756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916412808000).

3103463742756 is an abundant number, since it is smaller than the sum of its proper divisors (4729361873244).

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

3103463742756 is a wasteful number, since it uses less digits than its factorization.

3103463742756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21549 (or 21547 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 51.

The spelling of 3103463742756 in words is "three trillion, one hundred three billion, four hundred sixty-three million, seven hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 482 723 964 1446 2892 3133 5099 6266 9399 10198 12532 15297 16189 18798 20396 30594 32378 37596 48567 61188 64756 66287 97134 132574 194268 198861 210457 265148 397722 420914 631371 795444 841828 1228859 1262742 2457718 2525484 3686577 3901549 4915436 7373154 7803098 11704647 14746308 15606196 15975167 23409294 31950334 46818588 47925501 50720137 63900668 82547711 95851002 101440274 152160411 165095422 191702004 202880548 247643133 304320822 330190844 495286266 608641644 990572532 1073120243 2146240486 3219360729 4292480972 6438721458 12877442916 19893998351 39787996702 59681995053 79575993404 119363990106 238727980212 258621978563 517243957126 775865935689 1034487914252 1551731871378 3103463742756