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753430944016 = 242170012
BaseRepresentation
bin10101111011010111111…
…10111101100100010000
32200000201220020120202101
422331223332331210100
544321011310202031
61334042115530144
7105301502233342
oct12755376754420
92600656216671
10753430944016
1127058a142773
1210202a5b9954
1356081c7834a
1428675579292
15148e9c68361
hexaf6bfbd910

753430944016 has 15 divisors (see below), whose sum is σ = 1459779181093. Its totient is φ = 376713736000.

The previous prime is 753430943989. The next prime is 753430944029. The reversal of 753430944016 is 610449034357.

The square root of 753430944016 is 868004.

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., 69171104016 + 684259840000 = 263004^2 + 827200^2 .

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, 3363516 + ... + 3580516.

Almost surely, 2753430944016 is an apocalyptic number.

753430944016 is the 868004-th square number.

It is an amenable number.

753430944016 is a deficient number, since it is larger than the sum of its proper divisors (706348237077).

753430944016 is an frugal number, since it uses more digits than its factorization.

753430944016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434010 (or 217003 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 753430944016 in words is "seven hundred fifty-three billion, four hundred thirty million, nine hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 16 217001 434002 868004 1736008 3472016 47089434001 94178868002 188357736004 376715472008 753430944016