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100345080448 = 2710128327427
BaseRepresentation
bin101110101110100001…
…0000110101010000000
3100121000012222020122001
41131131002012222000
53121001320033243
6114033051153344
710151434052644
oct1353502065200
9317005866561
10100345080448
1139613200158
1217545445854
139602162662
144bdcc0ac24
1529246a0a4d
hex175d086a80

100345080448 has 64 divisors (see below), whose sum is σ = 202606247520. Its totient is φ = 49498444800.

The previous prime is 100345080431. The next prime is 100345080457. The reversal of 100345080448 is 844080543001.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3644911 + ... + 3672337.

Almost surely, 2100345080448 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 100345080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101303123760).

100345080448 is an abundant number, since it is smaller than the sum of its proper divisors (102261167072).

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

100345080448 is a wasteful number, since it uses less digits than its factorization.

100345080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27825 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 100345080448 in words is "one hundred billion, three hundred forty-five million, eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 283 404 566 808 1132 1616 2264 3232 4528 6464 9056 12928 18112 27427 28583 36224 54854 57166 109708 114332 219416 228664 438832 457328 877664 914656 1755328 1829312 2770127 3510656 3658624 5540254 7761841 11080508 15523682 22161016 31047364 44322032 62094728 88644064 124189456 177288128 248378912 354576256 496757824 783945941 993515648 1567891882 3135783764 6271567528 12543135056 25086270112 50172540224 100345080448