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385270972804 = 2250326172
BaseRepresentation
bin1011001101100111111…
…00001000000110000100
31100211110012022021010001
411212303330020012010
522303013332112204
6452554022011044
736556242143524
oct5466374100604
91324405267101
10385270972804
11139435469253
1262802576a84
132a43bc98b33
141490bd57684
15a04d7ac4a4
hex59b3f08184

385270972804 has 27 divisors (see below), whose sum is σ = 676663970437. Its totient is φ = 191940920864.

The previous prime is 385270972729. The next prime is 385270972819. The reversal of 385270972804 is 408279072583.

It is a happy number.

The square root of 385270972804 is 620702.

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

It can be written as a sum of positive squares in only one way, i.e., 11157696900 + 374113275904 = 105630^2 + 611648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 624425904 + ... + 624426520.

Almost surely, 2385270972804 is an apocalyptic number.

385270972804 is the 620702-nd square number.

It is an amenable number.

385270972804 is a deficient number, since it is larger than the sum of its proper divisors (291392997633).

385270972804 is an frugal number, since it uses more digits than its factorization.

385270972804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 385270972804 in words is "three hundred eighty-five billion, two hundred seventy million, nine hundred seventy-two thousand, eight hundred four".

Divisors: 1 2 4 503 617 1006 1234 2012 2468 253009 310351 380689 506018 620702 761378 1012036 1241404 1522756 156106553 191486567 312213106 382973134 624426212 765946268 96317743201 192635486402 385270972804