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872064348939 = 327215118776977
BaseRepresentation
bin11001011000010110001…
…01011111001100001011
310002100221122220222020100
430230023011133030023
5103241441433131224
61504342033300443
7120001365442500
oct14541305371413
93070848828210
10872064348939
11306927654773
12121018704723
1364309cab974
14302cb1c74a7
1517a3ec76ac9
hexcb0b15f30b

872064348939 has 72 divisors (see below), whose sum is σ = 1476006768288. Its totient is φ = 494687692800.

The previous prime is 872064348893. The next prime is 872064348983. The reversal of 872064348939 is 939843460278.

872064348939 is a `hidden beast` number, since 87 + 2 + 0 + 6 + 43 + 489 + 39 = 666.

872064348939 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 872064348939 - 211 = 872064346891 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (872064348839) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124987819 + ... + 124994795.

It is an arithmetic number, because the mean of its divisors is an integer number (20500094004).

Almost surely, 2872064348939 is an apocalyptic number.

872064348939 is a deficient number, since it is larger than the sum of its proper divisors (603942419349).

872064348939 is a wasteful number, since it uses less digits than its factorization.

872064348939 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 872064348939 in words is "eight hundred seventy-two billion, sixty-four million, three hundred forty-eight thousand, nine hundred thirty-nine".

Divisors: 1 3 7 9 21 49 63 147 151 441 453 1057 1359 1877 3171 5631 6977 7399 9513 13139 16893 20931 22197 39417 48839 62793 66591 91973 118251 146517 275919 283427 341873 439551 827757 850281 1025619 1053527 1983989 2550843 3076857 3160581 5951967 7374689 9481743 13095829 13887923 17855901 22124067 39287487 41663769 51622823 66372201 91670803 117862461 124991307 154868469 275012409 464605407 641695621 825037227 1925086863 1977470179 5775260589 5932410537 13842291253 17797231611 41526873759 96896038771 124580621277 290688116313 872064348939