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45742458384 = 24327349130027
BaseRepresentation
bin101010100110011101…
…101000011000010000
311101001212111122111100
4222212131220120100
51222140032132014
633002551344400
73206353323660
oct524635503020
9141055448440
1045742458384
1118443475017
128a47082100
13440c99802c
1422dd0da1a0
1512cabeb009
hexaa6768610

45742458384 has 120 divisors (see below), whose sum is σ = 146723595200. Its totient is φ = 13031725824.

The previous prime is 45742458361. The next prime is 45742458403. The reversal of 45742458384 is 48385424754.

45742458384 is a `hidden beast` number, since 4 + 57 + 4 + 2 + 4 + 583 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45742458384.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286779 + ... + 416805.

Almost surely, 245742458384 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 45742458384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73361797600).

45742458384 is an abundant number, since it is smaller than the sum of its proper divisors (100981136816).

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

45742458384 is a wasteful number, since it uses less digits than its factorization.

45742458384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130397 (or 130388 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 54.

The spelling of 45742458384 in words is "forty-five billion, seven hundred forty-two million, four hundred fifty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 349 504 698 1008 1047 1396 2094 2443 2792 3141 4188 4886 5584 6282 7329 8376 9772 12564 14658 16752 19544 21987 25128 29316 39088 43974 50256 58632 87948 117264 130027 175896 260054 351792 390081 520108 780162 910189 1040216 1170243 1560324 1820378 2080432 2340486 2730567 3120648 3640756 4680972 5461134 6241296 7281512 8191701 9361944 10922268 14563024 16383402 18723888 21844536 32766804 43689072 45379423 65533608 90758846 131067216 136138269 181517692 272276538 317655961 363035384 408414807 544553076 635311922 726070768 816829614 952967883 1089106152 1270623844 1633659228 1905935766 2178212304 2541247688 2858903649 3267318456 3811871532 5082495376 5717807298 6534636912 7623743064 11435614596 15247486128 22871229192 45742458384