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45790485720 = 23357211258353
BaseRepresentation
bin101010101001010100…
…110101110011011000
311101012012212200121120
4222221110311303120
51222234331020340
633011425005240
73210505464240
oct525124656330
9141165780546
1045790485720
1118468598731
128a5b183820
134419912585
14230563cb20
1512d00364d0
hexaa9535cd8

45790485720 has 128 divisors (see below), whose sum is σ = 157740618240. Its totient is φ = 10416752640.

The previous prime is 45790485703. The next prime is 45790485739. The reversal of 45790485720 is 2758409754.

It is a happy number.

45790485720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48064 + ... + 306416.

It is an arithmetic number, because the mean of its divisors is an integer number (1232348580).

Almost surely, 245790485720 is an apocalyptic number.

45790485720 is a gapful number since it is divisible by the number (40) 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 45790485720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78870309120).

45790485720 is an abundant number, since it is smaller than the sum of its proper divisors (111950132520).

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

45790485720 is a wasteful number, since it uses less digits than its factorization.

45790485720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258585 (or 258581 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 45790485720 in words is "forty-five billion, seven hundred ninety million, four hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 211 280 420 422 633 840 844 1055 1266 1477 1688 2110 2532 2954 3165 4220 4431 5064 5908 6330 7385 8440 8862 11816 12660 14770 17724 22155 25320 29540 35448 44310 59080 88620 177240 258353 516706 775059 1033412 1291765 1550118 1808471 2066824 2583530 3100236 3616942 3875295 5167060 5425413 6200472 7233884 7750590 9042355 10334120 10850826 14467768 15501180 18084710 21701652 27127065 31002360 36169420 43403304 54254130 54512483 72338840 108508260 109024966 163537449 217016520 218049932 272562415 327074898 381587381 436099864 545124830 654149796 763174762 817687245 1090249660 1144762143 1308299592 1526349524 1635374490 1907936905 2180499320 2289524286 3052699048 3270748980 3815873810 4579048572 5723810715 6541497960 7631747620 9158097144 11447621430 15263495240 22895242860 45790485720