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104040033504 = 25311162160779
BaseRepresentation
bin110000011100101000…
…1001110110011100000
3100221112201200022100020
41200321101032303200
53201033222033004
6115443442553440
710342131456561
oct1407121166340
9327481608306
10104040033504
1140139983070
12181b6968880
139a7080a004
14506d836168
152a8dc6b8d9
hex183944ece0

104040033504 has 96 divisors (see below), whose sum is σ = 298121523840. Its totient is φ = 31507315200.

The previous prime is 104040033467. The next prime is 104040033523. The reversal of 104040033504 is 405330040401.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1681387 + ... + 1742165.

It is an arithmetic number, because the mean of its divisors is an integer number (3105432540).

Almost surely, 2104040033504 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 104040033504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149060761920).

104040033504 is an abundant number, since it is smaller than the sum of its proper divisors (194081490336).

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

104040033504 is a wasteful number, since it uses less digits than its factorization.

104040033504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62424 (or 62416 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 104040033504 its reverse (405330040401), we get a palindrome (509370073905).

The spelling of 104040033504 in words is "one hundred four billion, forty million, thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1621 3242 4863 6484 9726 12968 17831 19452 25936 35662 38904 51872 53493 60779 71324 77808 106986 121558 142648 155616 182337 213972 243116 285296 364674 427944 486232 570592 668569 729348 855888 972464 1337138 1458696 1711776 1944928 2005707 2674276 2917392 4011414 5348552 5834784 8022828 10697104 16045656 21394208 32091312 64182624 98522759 197045518 295568277 394091036 591136554 788182072 1083750349 1182273108 1576364144 2167500698 2364546216 3152728288 3251251047 4335001396 4729092432 6502502094 8670002792 9458184864 13005004188 17340005584 26010008376 34680011168 52020016752 104040033504