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199235400201696 = 25350920507198827
BaseRepresentation
bin101101010011010000011011…
…010000010111010111100000
3222010102201101121012220001010
4231103100123100113113200
5202103233044422423241
61543423251310140520
756652165643260555
oct5523203320272740
9863381347186033
10199235400201696
11585342933a30a1
121a4191a44b1740
138722a82418521
14372b08adc2a2c
151807883a30d16
hexb5341b4175e0

199235400201696 has 96 divisors (see below), whose sum is σ = 524048605476480. Its totient is φ = 66277759540736.

The previous prime is 199235400201623. The next prime is 199235400201707. The reversal of 199235400201696 is 696102004532991.

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

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, 1001954635 + ... + 1002153461.

It is an arithmetic number, because the mean of its divisors is an integer number (5458839640380).

Almost surely, 2199235400201696 is an apocalyptic number.

199235400201696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199235400201696 is an abundant number, since it is smaller than the sum of its proper divisors (324813205274784).

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

199235400201696 is a wasteful number, since it uses less digits than its factorization.

199235400201696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219856 (or 219848 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 199235400201696 in words is "one hundred ninety-nine trillion, two hundred thirty-five billion, four hundred million, two hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 509 1018 1527 2036 3054 4072 6108 8144 12216 16288 20507 24432 41014 48864 61521 82028 123042 164056 198827 246084 328112 397654 492168 596481 656224 795308 984336 1192962 1590616 1968672 2385924 3181232 4771848 6362464 9543696 10438063 19087392 20876126 31314189 41752252 62628378 83504504 101202943 125256756 167009008 202405886 250513512 303608829 334018016 404811772 501027024 607217658 809623544 1002054048 1214435316 1619247088 2428870632 3238494176 4077345289 4857741264 8154690578 9715482528 12232035867 16309381156 24464071734 32618762312 48928143468 65237524624 97856286936 130475049248 195712573872 391425147744 2075368752101 4150737504202 6226106256303 8301475008404 12452212512606 16602950016808 24904425025212 33205900033616 49808850050424 66411800067232 99617700100848 199235400201696