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6921075855104 = 283740912771399
BaseRepresentation
bin110010010110111000001…
…0001001000111100000000
3220111122111200021000010122
41210231300101020330000
51401343330404330404
622415255351115412
71313013466050335
oct144556021107400
926448450230118
106921075855104
112229236985114
12939426372b68
133b286836c588
1419cda631298c
15c00768e73be
hex64b70448f00

6921075855104 has 144 divisors (see below), whose sum is σ = 14244501096000. Its totient is φ = 3353748406272.

The previous prime is 6921075855061. The next prime is 6921075855107. The reversal of 6921075855104 is 4015585701296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6921075855107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4947158597 + ... + 4947159995.

It is an arithmetic number, because the mean of its divisors is an integer number (98920146500).

Almost surely, 26921075855104 is an apocalyptic number.

6921075855104 is a gapful number since it is divisible by the number (64) 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 6921075855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122250548000).

6921075855104 is an abundant number, since it is smaller than the sum of its proper divisors (7323425240896).

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

6921075855104 is a wasteful number, since it uses less digits than its factorization.

6921075855104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 53.

The spelling of 6921075855104 in words is "six trillion, nine hundred twenty-one billion, seventy-five million, eight hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 409 592 818 1184 1277 1399 1636 2368 2554 2798 3272 4736 5108 5596 6544 9472 10216 11192 13088 15133 20432 22384 26176 30266 40864 44768 47249 51763 52352 60532 81728 89536 94498 103526 104704 121064 163456 179072 188996 207052 242128 326912 358144 377992 414104 484256 522293 572191 755984 828208 968512 1044586 1144382 1511968 1656416 1786523 1937024 2089172 2288764 3023936 3312832 3573046 3874048 4178344 4577528 6047872 6625664 7146092 8356688 9155056 12095744 13251328 14292184 16713376 18310112 19324841 21171067 28584368 33426752 36620224 38649682 42342134 57168736 66101351 66853504 73240448 77299364 84684268 114337472 132202702 133707008 146480896 154598728 169368536 228674944 264405404 309197456 338737072 457349888 528810808 618394912 677474144 730687907 1057621616 1236789824 1354948288 1461375814 2115243232 2473579648 2709896576 2922751628 4230486464 4947159296 5419793152 5845503256 8460972928 11691006512 16921945856 23382013024 27035452559 46764026048 54070905118 93528052096 108141810236 187056104192 216283620472 432567240944 865134481888 1730268963776 3460537927552 6921075855104