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625597442706916 = 226172202692
BaseRepresentation
bin1000111000111110100100000…
…1010110000100110111100100
310001001001112100102022220122201
42032033221001112010313210
51123444242030313110131
610054311255253504244
7245525631553262251
oct21617510126046744
93031045312286581
10625597442706916
11171375427130979
125a1b8b85942084
1320b0c77ca72b34
14b06b113630428
154c4d359d4b761
hex238fa41584de4

625597442706916 has 27 divisors (see below), whose sum is σ = 1096626889181019. Its totient is φ = 312276346861248.

The previous prime is 625597442706911. The next prime is 625597442706959. The reversal of 625597442706916 is 619607244795526.

The square root of 625597442706916 is 25011946.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64073140884900 + 561524301822016 = 8004570^2 + 23696504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (625597442706911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30864731230 + ... + 30864751498.

Almost surely, 2625597442706916 is an apocalyptic number.

625597442706916 is the 25011946-th square number.

It is an amenable number.

625597442706916 is a deficient number, since it is larger than the sum of its proper divisors (471029446474103).

625597442706916 is an frugal number, since it uses more digits than its factorization.

625597442706916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41776 (or 20888 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 73.

The spelling of 625597442706916 in words is "six hundred twenty-five trillion, five hundred ninety-seven billion, four hundred forty-two million, seven hundred six thousand, nine hundred sixteen".

Divisors: 1 2 4 617 1234 2468 20269 40538 81076 380689 761378 1522756 12505973 25011946 50023892 410832361 821664722 1643329444 7716185341 15432370682 30864741364 253483566737 506967133474 1013934266948 156399360676729 312798721353458 625597442706916