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154540924239601 = 1621276692
BaseRepresentation
bin100011001000110111011100…
…111001000111111011110001
3202021011222010201112222111001
4203020313130321013323301
5130223444303101131401
61304403042005522001
744360133112013104
oct4310673471077361
9667158121488431
10154540924239601
114527248a950249
12153bb096a13301
1368301ba1973b3
142a23b6bbb673b
1512cee6dc1d601
hex8c8ddce47ef1

154540924239601 has 9 divisors (see below), whose sum is σ = 154656486282753. Its totient is φ = 154425448509840.

The previous prime is 154540924239587. The next prime is 154540924239781. The reversal of 154540924239601 is 106932429045451.

The square root of 154540924239601 is 12431449.

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 85678145550001 + 68862778689600 = 9256249^2 + 8298360^2 .

It is not a de Polignac number, because 154540924239601 - 221 = 154540922142449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (154540924279601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20151374995 + ... + 20151382663.

It is an arithmetic number, because the mean of its divisors is an integer number (17184054031417).

Almost surely, 2154540924239601 is an apocalyptic number.

154540924239601 is the 12431449-th square number.

154540924239601 is the 6215725-th centered octagonal number.

It is an amenable number.

154540924239601 is a deficient number, since it is larger than the sum of its proper divisors (115562043152).

154540924239601 is an frugal number, since it uses more digits than its factorization.

154540924239601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18580 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 154540924239601 in words is "one hundred fifty-four trillion, five hundred forty billion, nine hundred twenty-four million, two hundred thirty-nine thousand, six hundred one".

Divisors: 1 1621 7669 2627641 12431449 58813561 20151378829 95336782381 154540924239601