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402590741432896 = 2625080832
BaseRepresentation
bin101101110001001110111011…
…0001000100000101001000000
31221210110022001222100002012101
41123202131312020200221000
5410232021314301323041
63544123344451040144
7150541135606521412
oct13342356610405100
91853408058302171
10402590741432896
11107306858024525
12391a09488a0054
13143841b453a343
14715b6d289a9b2
153182498224b31
hex16e2776220a40

402590741432896 has 21 divisors (see below), whose sum is σ = 798891321057571. Its totient is φ = 201295290457792.

The previous prime is 402590741432753. The next prime is 402590741432959. The reversal of 402590741432896 is 698234147095204.

The square root of 402590741432896 is 20064664.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 159263271 + ... + 161771353.

It is a 1-persistent number, because it is pandigital, but 2⋅402590741432896 = 805181482865792 is not.

Almost surely, 2402590741432896 is an apocalyptic number.

402590741432896 is the 20064664-th square number.

It is an amenable number.

402590741432896 is a deficient number, since it is larger than the sum of its proper divisors (396300579624675).

402590741432896 is an frugal number, since it uses more digits than its factorization.

402590741432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016178 (or 2508085 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

402590741432896 divided by its sum of digits (64) gives a square (6290480334889 = 25080832).

The spelling of 402590741432896 in words is "four hundred two trillion, five hundred ninety billion, seven hundred forty-one million, four hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 2508083 5016166 10032332 20064664 40129328 80258656 160517312 6290480334889 12580960669778 25161921339556 50323842679112 100647685358224 201295370716448 402590741432896