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412885304692 = 2274320913397
BaseRepresentation
bin1100000001000011110…
…00011100010101110100
31110110201200112200001221
412000201320130111310
523231042114222232
6513402113000124
741554453120000
oct6004170342564
91413650480057
10412885304692
1114a115a99543
126802a553044
132cc200227a3
1415dab5d3700
15ab17c41897
hex6021e1c574

412885304692 has 60 divisors (see below), whose sum is σ = 843249621060. Its totient is φ = 176882498688.

The previous prime is 412885304653. The next prime is 412885304717. The reversal of 412885304692 is 296403588214.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100632335076 + 312252969616 = 317226^2 + 558796^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30812538 + ... + 30825934.

It is an arithmetic number, because the mean of its divisors is an integer number (14054160351).

Almost surely, 2412885304692 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 412885304692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421624810530).

412885304692 is an abundant number, since it is smaller than the sum of its proper divisors (430364316368).

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

412885304692 is a wasteful number, since it uses less digits than its factorization.

412885304692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16638 (or 16615 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 412885304692 in words is "four hundred twelve billion, eight hundred eighty-five million, three hundred four thousand, six hundred ninety-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 3209 4802 6418 9604 12836 13397 22463 26794 44926 53588 89852 93779 157241 187558 314482 375116 628964 656453 1100687 1312906 2201374 2625812 4402748 4595171 7704809 9190342 15409618 18380684 30819236 32166197 42990973 64332394 85981946 128664788 171963892 300936811 601873622 1203747244 2106557677 4213115354 8426230708 14745903739 29491807478 58983614956 103221326173 206442652346 412885304692