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5479246326841 = 74232312672
BaseRepresentation
bin100111110111011110010…
…0001111110110000111001
3201101210220002122000012021
41033232330201332300321
51204232444024424331
615353044144314441
71103601555220000
oct117567441766071
921353802560167
105479246326841
11182280a787161
12745ab8612a21
133098c9654a61
1414d2a8577c37
15977db363211
hex4fbbc87ec39

5479246326841 has 135 divisors (see below), whose sum is σ = 7009168769253. Its totient is φ = 4282501996080.

The previous prime is 5479246326823. The next prime is 5479246326907. The reversal of 5479246326841 is 1486236429745.

The square root of 5479246326841 is 2340779.

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

It is not a de Polignac number, because 5479246326841 - 29 = 5479246326329 is a prime.

Its product of digits (69672960) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5479246326841.

It is not an unprimeable number, because it can be changed into a prime (5479246326821) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 81779795890 + ... + 81779795956.

Almost surely, 25479246326841 is an apocalyptic number.

5479246326841 is the 2340779-th square number.

5479246326841 is the 1170390-th centered octagonal number.

It is an amenable number.

5479246326841 is a deficient number, since it is larger than the sum of its proper divisors (1529922442412).

5479246326841 is an frugal number, since it uses more digits than its factorization.

5479246326841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 128 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 61.

The spelling of 5479246326841 in words is "five trillion, four hundred seventy-nine billion, two hundred forty-six million, three hundred twenty-six thousand, eight hundred forty-one".

Divisors: 1 7 23 31 49 67 161 217 343 469 529 713 961 1127 1519 1541 2077 2401 3283 3703 4489 4991 6727 7889 10633 10787 14539 16399 22103 22981 25921 31423 34937 35443 47089 47771 55223 64387 74431 75509 101773 103247 114793 139159 154721 160867 181447 219961 244559 248101 329623 334397 450709 508369 528563 712411 722729 803551 974113 1083047 1098733 1270129 1480901 1539727 1711913 1736707 2307361 2340779 2374681 3154963 3200657 3558583 3699941 4313929 4986877 5059103 5624857 6818791 7581329 7691131 10366307 10778089 12156949 16385453 16622767 22084741 22404599 24910081 30197503 34060723 35413721 39373999 47731537 53069303 53837917 72564149 73615111 85098643 99220367 114698171 116359369 154593187 156832193 174370567 211382521 238425061 247896047 334120759 376865419 507949043 515305777 694542569 814515583 1097825351 1220593969 1479677647 1668975427 2282068441 2638057933 3555643301 3607140439 4861797983 5701609081 7684777457 10357743529 11682827989 15974479087 25249983073 34032585881 81779795923 111821353609 176749881511 238228101167 782749475263 5479246326841