Search a number
-
+
2017791424404 = 22327127121351977
BaseRepresentation
bin11101010111001101101…
…111011011011110010100
321010220021100112212001200
4131113031233123132110
5231024414101040104
64142543252552500
7265531516055040
oct35271557333624
97126240485050
102017791424404
11708816723318
1228708a322730
1311837a4c7232
146d939705020
1537749dd5b39
hex1d5cdbdb794

2017791424404 has 144 divisors (see below), whose sum is σ = 5880030793728. Its totient is φ = 571489841664.

The previous prime is 2017791424393. The next prime is 2017791424423. The reversal of 2017791424404 is 4044241977102.

2017791424404 is a `hidden beast` number, since 20 + 17 + 79 + 142 + 4 + 404 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2017791424404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38794864 + ... + 38846840.

Almost surely, 22017791424404 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 2017791424404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940015396864).

2017791424404 is an abundant number, since it is smaller than the sum of its proper divisors (3862239369324).

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

2017791424404 is a wasteful number, since it uses less digits than its factorization.

2017791424404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53334 (or 53329 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2017791424404 in words is "two trillion, seventeen billion, seven hundred ninety-one million, four hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1213 1524 1778 2286 2426 2667 3556 3639 4572 4852 5334 7278 8001 8491 10668 10917 14556 16002 16982 21834 25473 32004 33964 43668 50946 51977 76419 101892 103954 152838 154051 155931 207908 305676 308102 311862 363839 462153 467793 616204 623724 727678 924306 935586 1078357 1091517 1386459 1455356 1848612 1871172 2156714 2183034 2772918 3235071 3274551 4313428 4366068 5545836 6470142 6549102 6601079 9705213 12940284 13098204 13202158 19410426 19803237 26404316 38820852 39606474 46207553 59409711 63048101 79212948 92415106 118819422 126096202 138622659 184830212 189144303 237638844 252192404 277245318 378288606 415867977 441336707 554490636 567432909 756577212 831735954 882673414 1134865818 1324010121 1663471908 1765346828 2269731636 2648020242 3972030363 5296040484 7944060726 8007108827 15888121452 16014217654 24021326481 32028435308 48042652962 56049761789 72063979443 96085305924 112099523578 144127958886 168149285367 224199047156 288255917772 336298570734 504447856101 672597141468 1008895712202 2017791424404