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4426626642025 = 527247212792
BaseRepresentation
bin100000001101010011110…
…0000100011000001101001
3120200011220012222122002211
41000122213200203001221
51040011212410021100
613225321511325121
7634545635430100
oct100324740430151
916604805878084
104426626642025
11145735a379245
125b5ab03807a1
13261576973753
1411436d917037
157a2302891ba
hex406a7823069

4426626642025 has 81 divisors (see below), whose sum is σ = 6529033365399. Its totient is φ = 2968495356960.

The previous prime is 4426626642019. The next prime is 4426626642037. The reversal of 4426626642025 is 5202466266244.

The square root of 4426626642025 is 2103955.

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., 1593585591129 + 2833041050896 = 1262373^2 + 1683164^2 .

It is not a de Polignac number, because 4426626642025 - 25 = 4426626641993 is a prime.

It is a super-2 number, since 2×44266266420252 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4426626642025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3461005336 + ... + 3461006614.

Almost surely, 24426626642025 is an apocalyptic number.

4426626642025 is the 2103955-th square number.

4426626642025 is the 1051978-th centered octagonal number.

It is an amenable number.

4426626642025 is a deficient number, since it is larger than the sum of its proper divisors (2102406723374).

4426626642025 is an frugal number, since it uses more digits than its factorization.

4426626642025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 49.

Multiplying 4426626642025 by its sum of digits (49), we get a square (216904705459225 = 147276852).

4426626642025 divided by its sum of digits (49) gives a square (90339319225 = 3005652).

The spelling of 4426626642025 in words is "four trillion, four hundred twenty-six billion, six hundred twenty-six million, six hundred forty-two thousand, twenty-five".

Divisors: 1 5 7 25 35 47 49 175 235 245 329 1175 1225 1279 1645 2209 2303 6395 8225 8953 11045 11515 15463 31975 44765 55225 57575 60113 62671 77315 108241 223825 300565 313355 386575 420791 541205 1502825 1566775 1635841 2103955 2706025 2825311 2945537 8179205 10519775 11450887 14126555 14727685 19777177 40896025 57254435 70632775 73638425 76884527 80156209 98885885 138440239 286272175 384422635 400781045 494429425 538191689 692201195 1922113175 2003905225 2690958445 3461005975 3613572769 3767341823 13454792225 18067863845 18836709115 25295009383 90339319225 94183545575 126475046915 177065065681 632375234575 885325328405 4426626642025