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359401449001 = 72856432
BaseRepresentation
bin1010011101011011111…
…11101110011000101001
31021100200022020021212211
411032231333232120221
521342023232332001
6433035020205121
734652205624400
oct5165577563051
91240608207784
10359401449001
1112946a826111
12597a29997a1
1327b785798ba
1413576308637
1595375cd351
hex53adfee629

359401449001 has 9 divisors (see below), whose sum is σ = 418084118301. Its totient is φ = 308054787852.

The previous prime is 359401448971. The next prime is 359401449007. The reversal of 359401449001 is 100944104953.

The square root of 359401449001 is 599501.

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

It is not a de Polignac number, because 359401449001 - 215 = 359401416233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (359401449007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4153686 + ... + 4239328.

Almost surely, 2359401449001 is an apocalyptic number.

359401449001 is the 599501-st square number.

359401449001 is the 299751-st centered octagonal number.

It is an amenable number.

359401449001 is a deficient number, since it is larger than the sum of its proper divisors (58682669300).

359401449001 is an frugal number, since it uses more digits than its factorization.

359401449001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171300 (or 85650 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 359401449001 in words is "three hundred fifty-nine billion, four hundred one million, four hundred forty-nine thousand, one".

Divisors: 1 7 49 85643 599501 4196507 7334723449 51343064143 359401449001