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601406880068412 = 2232118659917537203
BaseRepresentation
bin1000100010111110011111001…
…1011100111011001100111100
32220212101221021111221122202200
42020233213303130323030330
51112311422242244142122
65531030301230551500
7240451133063441535
oct21057476334731474
92825357244848680
10601406880068412
11164699253176490
1257550823368590
131ca7656b9179a2
14a8723694d568c
15497de8e3565ac
hex222f9f373b33c

601406880068412 has 72 divisors (see below), whose sum is σ = 1658444278108800. Its totient is φ = 182242394255520.

The previous prime is 601406880068387. The next prime is 601406880068429. The reversal of 601406880068412 is 214860088604106.

It is a happy number.

601406880068412 is a `hidden beast` number, since 6 + 0 + 140 + 6 + 8 + 80 + 0 + 6 + 8 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25524603 + ... + 43061805.

Almost surely, 2601406880068412 is an apocalyptic number.

It is an amenable number.

601406880068412 is an abundant number, since it is smaller than the sum of its proper divisors (1057037398040388).

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

601406880068412 is a wasteful number, since it uses less digits than its factorization.

601406880068412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17623823 (or 17623818 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 601406880068412 in words is "six hundred one trillion, four hundred six billion, eight hundred eighty million, sixty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 86599 173198 259797 346396 519594 779391 952589 1039188 1558782 1905178 2857767 3117564 3810356 5715534 8573301 11431068 17146602 17537203 34293204 35074406 52611609 70148812 105223218 157834827 192909233 210446436 315669654 385818466 578727699 631339308 771636932 1157455398 1736183097 2314910796 3472366194 6944732388 1518704242597 3037408485194 4556112727791 6074816970388 9112225455582 13668338183373 16705746668567 18224450911164 27336676366746 33411493337134 50117240005701 54673352733492 66822986674268 100234480011402 150351720017103 200468960022804 300703440034206 601406880068412