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104330010432 = 2634719935801
BaseRepresentation
bin110000100101010001…
…1011001111101000000
3100222021221022122220110
41201022203121331000
53202131440313212
6115532322111320
710352252312424
oct1411243317500
9328257278813
10104330010432
114027863101a
1218277aab540
139ab89088ab
14509a15ab84
152aa944aa3c
hex184a8d9f40

104330010432 has 112 divisors (see below), whose sum is σ = 282103080192. Its totient is φ = 34013798400.

The previous prime is 104330010409. The next prime is 104330010437. The reversal of 104330010432 is 234010033401.

It is a junction number, because it is equal to n+sod(n) for n = 104330010399 and 104330010408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104330010437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17981932 + ... + 17987732.

Almost surely, 2104330010432 is an apocalyptic number.

104330010432 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 104330010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141051540096).

104330010432 is an abundant number, since it is smaller than the sum of its proper divisors (177773069760).

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

104330010432 is a wasteful number, since it uses less digits than its factorization.

104330010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 104330010432 its reverse (234010033401), we get a palindrome (338340043833).

The spelling of 104330010432 in words is "one hundred four billion, three hundred thirty million, ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 1993 2256 3008 3986 4512 5801 5979 7972 9024 11602 11958 15944 17403 23204 23916 31888 34806 46408 47832 63776 69612 92816 93671 95664 127552 139224 185632 187342 191328 272647 278448 281013 371264 374684 382656 545294 556896 562026 749368 817941 1090588 1113792 1124052 1498736 1635882 2181176 2248104 2997472 3271764 4362352 4496208 5994944 6543528 8724704 8992416 11561393 13087056 17449408 17984832 23122786 26174112 34684179 46245572 52348224 69368358 92491144 138736716 184982288 277473432 369964576 543385471 554946864 739929152 1086770942 1109893728 1630156413 2173541884 2219787456 3260312826 4347083768 6520625652 8694167536 13041251304 17388335072 26082502608 34776670144 52165005216 104330010432