Search a number
-
+
72241753401 = 3247253167477
BaseRepresentation
bin100001101000111110…
…0011010110100111001
320220110122121022102100
41003101330122310321
52140422342102101
653104251254013
75135134525566
oct1032174326471
9226418538370
1072241753401
112870164a634
121200174a309
136a73a0795c
1436d464186d
151d2c328e86
hex10d1f1ad39

72241753401 has 24 divisors (see below), whose sum is σ = 106613080704. Its totient is φ = 47117141280.

The previous prime is 72241753391. The next prime is 72241753439. The reversal of 72241753401 is 10435714227.

72241753401 is a `hidden beast` number, since 7 + 2 + 241 + 7 + 5 + 3 + 401 = 666.

It is not a de Polignac number, because 72241753401 - 25 = 72241753369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72241753201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036875 + ... + 1104351.

It is an arithmetic number, because the mean of its divisors is an integer number (4442211696).

Almost surely, 272241753401 is an apocalyptic number.

It is an amenable number.

72241753401 is a deficient number, since it is larger than the sum of its proper divisors (34371327303).

72241753401 is a wasteful number, since it uses less digits than its factorization.

72241753401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70061 (or 70058 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 72241753401 in words is "seventy-two billion, two hundred forty-one million, seven hundred fifty-three thousand, four hundred one".

Divisors: 1 3 9 47 141 423 2531 7593 22779 67477 118957 202431 356871 607293 1070613 3171419 9514257 28542771 170784287 512352861 1537058583 8026861489 24080584467 72241753401