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2194135198304 = 257313131009507
BaseRepresentation
bin11111111011011100101…
…001100010101001100000
321202202110001110201222212
4133323130221202221200
5241422042102321204
64355545524021252
7314343500314610
oct37733451425140
97682401421885
102194135198304
11776589133735
122b52a3531828
1312bba180338a
14782a7ab6a40
153c11b622c6e
hex1fedca62a60

2194135198304 has 96 divisors (see below), whose sum is σ = 5112342337536. Its totient is φ = 907101711360.

The previous prime is 2194135198193. The next prime is 2194135198327. The reversal of 2194135198304 is 4038915314912.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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, 1668719 + ... + 2678225.

It is an arithmetic number, because the mean of its divisors is an integer number (53253566016).

Almost surely, 22194135198304 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 2194135198304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556171168768).

2194135198304 is an abundant number, since it is smaller than the sum of its proper divisors (2918207139232).

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

2194135198304 is a wasteful number, since it uses less digits than its factorization.

2194135198304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009868 (or 1009860 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 2194135198304 in words is "two trillion, one hundred ninety-four billion, one hundred thirty-five million, one hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 313 434 496 626 868 992 1252 1736 2191 2504 3472 4382 5008 6944 8764 9703 10016 17528 19406 35056 38812 67921 70112 77624 135842 155248 271684 310496 543368 1009507 1086736 2019014 2173472 4038028 7066549 8076056 14133098 16152112 28266196 31294717 32304224 56532392 62589434 113064784 125178868 219063019 226129568 250357736 315975691 438126038 500715472 631951382 876252076 1001430944 1263902764 1752504152 2211829837 2527805528 3505008304 4423659674 5055611056 7010016608 8847319348 9795246421 10111222112 17694638696 19590492842 35389277392 39180985684 68566724947 70778554784 78361971368 137133449894 156723942736 274266899788 313447885472 548533799576 1097067599152 2194135198304