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3058401872394 = 2331152183911779
BaseRepresentation
bin101100100000010110111…
…101010000101000001010
3101211101021021200210021000
4230200112331100220022
5400102101334404034
610301002130155430
7433651022660451
oct54402675205012
911741237623230
103058401872394
11a7a074140920
124148a4722b76
1319253815b64b
14a8055421b98
1554851a17599
hex2c816f50a0a

3058401872394 has 128 divisors (see below), whose sum is σ = 7438023936000. Its totient is φ = 923828630400.

The previous prime is 3058401872363. The next prime is 3058401872401. The reversal of 3058401872394 is 4932781048503.

It is a happy number.

3058401872394 is a `hidden beast` number, since 3 + 0 + 58 + 401 + 87 + 23 + 94 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3058401872394.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259642797 + ... + 259654575.

It is an arithmetic number, because the mean of its divisors is an integer number (58109562000).

Almost surely, 23058401872394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3058401872394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719011968000).

3058401872394 is an abundant number, since it is smaller than the sum of its proper divisors (4379622063606).

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

3058401872394 is a wasteful number, since it uses less digits than its factorization.

3058401872394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161 (or 13155 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3058401872394 in words is "three trillion, fifty-eight billion, four hundred one million, eight hundred seventy-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 521 594 839 1042 1563 1678 2517 3126 4689 5034 5731 7551 9229 9378 11462 11779 14067 15102 17193 18458 22653 23558 27687 28134 34386 35337 45306 51579 55374 70674 83061 103158 106011 129569 154737 166122 212022 249183 259138 309474 318033 388707 437119 498366 636066 777414 874238 1166121 1311357 2332242 2622714 3498363 3934071 4808309 6136859 6996726 7868142 9616618 9882581 11802213 12273718 14424927 18410577 19765162 23604426 28849854 29647743 36821154 43274781 55231731 59295486 67505449 86549562 88943229 108708391 110463462 129824343 135010898 165695193 177886458 202516347 217416782 259648686 266829687 326125173 331390386 405032694 533659374 607549041 652250346 978375519 1215098082 1822647123 1956751038 2935126557 3645294246 5148824701 5870253114 10297649402 15446474103 30892948206 46339422309 56637071711 92678844618 113274143422 139018266927 169911215133 278036533854 339822430266 509733645399 1019467290798 1529200936197 3058401872394