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3553131216992 = 257311879272317
BaseRepresentation
bin110011101101000111000…
…111111100000001100000
3110120200020211020110112012
4303231013013330001200
5431203303042420432
611320141433052052
7514463622011630
oct63550707740140
913520224213465
103553131216992
11114a968a3a965
12494754557028
131ca09c3555c6
14c3d8864c6c0
1562659a7ecb2
hex33b471fc060

3553131216992 has 96 divisors (see below), whose sum is σ = 8256856043520. Its totient is φ = 1472859210240.

The previous prime is 3553131216967. The next prime is 3553131217019. The reversal of 3553131216992 is 2996121313553.

It is a self number, because there is not a number n which added to its sum of digits gives 3553131216992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12911618 + ... + 13183934.

It is an arithmetic number, because the mean of its divisors is an integer number (86008917120).

Almost surely, 23553131216992 is an apocalyptic number.

3553131216992 is a gapful number since it is divisible by the number (32) 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 3553131216992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128428021760).

3553131216992 is an abundant number, since it is smaller than the sum of its proper divisors (4703724826528).

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

3553131216992 is a wasteful number, since it uses less digits than its factorization.

3553131216992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274244 (or 274236 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 50.

The spelling of 3553131216992 in words is "three trillion, five hundred fifty-three billion, one hundred thirty-one million, two hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 1879 3472 3758 6944 7516 13153 15032 26306 30064 52612 58249 60128 105224 116498 210448 232996 272317 407743 420896 465992 544634 815486 931984 1089268 1630972 1863968 1906219 2178536 3261944 3812438 4357072 6523888 7624876 8441827 8714144 13047776 15249752 16883654 30499504 33767308 59092789 60999008 67534616 118185578 135069232 236371156 270138464 472742312 511683643 945484624 1023367286 1890969248 2046734572 3581785501 4093469144 7163571002 8186938288 14327142004 15862192933 16373876576 28654284008 31724385866 57308568016 63448771732 111035350531 114617136032 126897543464 222070701062 253795086928 444141402124 507590173856 888282804248 1776565608496 3553131216992