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104012010330432 = 2633766532200711
BaseRepresentation
bin10111101001100100101110…
…111011011001100101000000
3111122021110011211120020020220
4113221210232323121211000
5102113113044121033212
61005114242523503040
730623422402236111
oct2751445673314500
9448243154506226
10104012010330432
1130161278275866
12b7ba283987a80
1346063a1282279
141b982cb29c208
15c058ced8b38c
hex5e992eed9940

104012010330432 has 112 divisors (see below), whose sum is σ = 282678850756992. Its totient is φ = 33728539207680.

The previous prime is 104012010330383. The next prime is 104012010330457. The reversal of 104012010330432 is 234033010210401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 46162557 + ... + 48363267.

Almost surely, 2104012010330432 is an apocalyptic number.

104012010330432 is a gapful number since it is divisible by the number (12) 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 104012010330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141339425378496).

104012010330432 is an abundant number, since it is smaller than the sum of its proper divisors (178666840426560).

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

104012010330432 is a wasteful number, since it uses less digits than its factorization.

104012010330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207416 (or 2207406 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 104012010330432 its reverse (234033010210401), we get a palindrome (338045020540833).

The spelling of 104012010330432 in words is "one hundred four trillion, twelve billion, ten million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 6653 7104 13306 19959 26612 39918 53224 79836 106448 159672 212896 246161 319344 425792 492322 638688 738483 984644 1277376 1476966 1969288 2200711 2953932 3938576 4401422 5907864 6602133 7877152 8802844 11815728 13204266 15754304 17605688 23631456 26408532 35211376 47262912 52817064 70422752 81426307 105634128 140845504 162852614 211268256 244278921 325705228 422536512 488557842 651410456 977115684 1302820912 1954231368 2605641824 3908462736 5211283648 7816925472 14641330283 15633850944 29282660566 43923990849 58565321132 87847981698 117130642264 175695963396 234261284528 351391926792 468522569056 541729220471 702783853584 937045138112 1083458440942 1405567707168 1625187661413 2166916881884 2811135414336 3250375322826 4333833763768 6500750645652 8667667527536 13001501291304 17335335055072 26003002582608 34670670110144 52006005165216 104012010330432