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104490006400 = 2752132511779
BaseRepresentation
bin110000101010000010…
…1101111011110000000
3100222201002101022010001
41201110011233132000
53202443420201100
6120000235245344
710356234254113
oct1412405573600
9328632338101
10104490006400
114034a98039a
12183015a9854
139b12ac7570
1450b34c857a
152ab8501d6a
hex185416f780

104490006400 has 96 divisors (see below), whose sum is σ = 277978692600. Its totient is φ = 38580910080.

The previous prime is 104490006353. The next prime is 104490006431. The reversal of 104490006400 is 4600094401.

It is a super-2 number, since 2×1044900064002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1214290 + ... + 1297489.

Almost surely, 2104490006400 is an apocalyptic number.

104490006400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104490006400 is an abundant number, since it is smaller than the sum of its proper divisors (173488686200).

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

104490006400 is a wasteful number, since it uses less digits than its factorization.

104490006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511816 (or 2511799 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 104490006400 in words is "one hundred four billion, four hundred ninety million, six thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 800 832 1040 1300 1600 1664 2080 2600 3200 4160 5200 8320 10400 20800 41600 2511779 5023558 10047116 12558895 20094232 25117790 32653127 40188464 50235580 62794475 65306254 80376928 100471160 125588950 130612508 160753856 163265635 200942320 251177900 261225016 321507712 326531270 401884640 502355800 522450032 653062540 803769280 816328175 1004711600 1044900064 1306125080 1607538560 1632656350 2009423200 2089800128 2612250160 3265312700 4018846400 4179600256 5224500320 6530625400 8037692800 10449000640 13061250800 20898001280 26122501600 52245003200 104490006400