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378875764212 = 2231143139947713
BaseRepresentation
bin1011000001101101100…
…00010101110111110100
31100012221111121000011120
411200312300111313310
522201414143423322
6450015250303540
736241615600521
oct5406660256764
91305844530146
10378875764212
111367535453a0
1261518887bb0
132996007863a
14144a2870148
159cc710aa5c
hex5836c15df4

378875764212 has 96 divisors (see below), whose sum is σ = 987565286400. Its totient is φ = 112058311680.

The previous prime is 378875764123. The next prime is 378875764249. The reversal of 378875764212 is 212467578873.

It is a Smith number, since the sum of its digits (60) 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 31 ways as a sum of consecutive naturals, for example, 7916868 + ... + 7964580.

It is an arithmetic number, because the mean of its divisors is an integer number (10287138400).

Almost surely, 2378875764212 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 378875764212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493782643200).

378875764212 is an abundant number, since it is smaller than the sum of its proper divisors (608689522188).

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

378875764212 is a wasteful number, since it uses less digits than its factorization.

378875764212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49173 (or 49171 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 60.

The spelling of 378875764212 in words is "three hundred seventy-eight billion, eight hundred seventy-five million, seven hundred sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1399 1419 1892 2798 2838 4197 5596 5676 8394 15389 16788 30778 46167 47713 60157 61556 92334 95426 120314 143139 180471 184668 190852 240628 286278 360942 524843 572556 661727 721884 1049686 1323454 1574529 1985181 2051659 2099372 2646908 3149058 3970362 4103318 6154977 6298116 7940724 8206636 12309954 22568249 24619908 45136498 66750487 67704747 90272996 133500974 135409494 200251461 267001948 270818988 400502922 734255357 801005844 1468510714 2202766071 2870270941 2937021428 4405532142 5740541882 8610812823 8811064284 11481083764 17221625646 31572980351 34443251292 63145960702 94718941053 126291921404 189437882106 378875764212