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76247224641 = 38724872
BaseRepresentation
bin100011100000010110…
…0000101000101000001
321021210210121100000000
41013000230011011001
52222123242142031
655005534350213
75336322500400
oct1070054050501
9237723540000
1076247224641
112a377630445
121293b05b369
1372617c3793
1439945bb637
151eb3cd03e6
hex11c0b05141

76247224641 has 81 divisors (see below), whose sum is σ = 133310604609. Its totient is φ = 43480376856.

The previous prime is 76247224609. The next prime is 76247224649. The reversal of 76247224641 is 14642274267.

The square root of 76247224641 is 276129.

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

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 76247224641 - 25 = 76247224609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76247224649) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 156564900 + ... + 156565386.

Almost surely, 276247224641 is an apocalyptic number.

76247224641 is the 276129-th square number.

76247224641 is the 138065-th centered octagonal number.

It is an amenable number.

76247224641 is a deficient number, since it is larger than the sum of its proper divisors (57063379968).

76247224641 is an frugal number, since it uses more digits than its factorization.

76247224641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 497 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 76247224641 in words is "seventy-six billion, two hundred forty-seven million, two hundred twenty-four thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 487 567 729 1323 1461 1701 2187 3409 3969 4383 5103 6561 10227 11907 13149 15309 23863 30681 35721 39447 45927 71589 92043 107163 118341 214767 237169 276129 321489 355023 644301 711507 828387 1065069 1660183 1932903 2134521 2485161 3195207 4980549 5798709 6403563 7455483 11621281 14941647 17396127 19210689 22366449 34863843 44824941 52188381 57632067 104591529 134474823 156565143 172896201 313774587 403424469 518688603 941323761 1210273407 1556065809 2823971283 3630820221 8471913849 10892460663 25415741547 76247224641