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104132410400 = 2552472769479
BaseRepresentation
bin110000011111011000…
…1100111110000100000
3100221210011111112121202
41200332301213300200
53201230344113100
6115500542540332
710344332612144
oct1407661476040
9327704445552
10104132410400
1140187038207
12182218976a8
139a869b1ab5
14507bc01224
152a96e177d5
hex183ec67c20

104132410400 has 72 divisors (see below), whose sum is σ = 259622133120. Its totient is φ = 40766716160.

The previous prime is 104132410373. The next prime is 104132410423. The reversal of 104132410400 is 4014231401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1347140 + ... + 1422339.

It is an arithmetic number, because the mean of its divisors is an integer number (3605862960).

Almost surely, 2104132410400 is an apocalyptic number.

104132410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104132410400 is an abundant number, since it is smaller than the sum of its proper divisors (155489722720).

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

104132410400 is a wasteful number, since it uses less digits than its factorization.

104132410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769546 (or 2769533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 104132410400 its reverse (4014231401), we get a palindrome (108146641801).

The spelling of 104132410400 in words is "one hundred four billion, one hundred thirty-two million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 7520 9400 18800 37600 2769479 5538958 11077916 13847395 22155832 27694790 44311664 55389580 69236975 88623328 110779160 130165513 138473950 221558320 260331026 276947900 443116640 520662052 553895800 650827565 1041324104 1107791600 1301655130 2082648208 2215583200 2603310260 3254137825 4165296416 5206620520 6508275650 10413241040 13016551300 20826482080 26033102600 52066205200 104132410400