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72021248892 = 22324993400679
BaseRepresentation
bin100001100010011001…
…1010000101101111100
320212220021200112002200
41003010303100231330
52134444414431032
653030333151500
75126516341365
oct1030463205574
9225807615080
1072021248892
11285a91322aa
1211b5b92b590
136a3a121708
1436b3242b6c
151d17cbe47c
hex10c4cd0b7c

72021248892 has 36 divisors (see below), whose sum is σ = 182090628720. Its totient is φ = 24002214912.

The previous prime is 72021248851. The next prime is 72021248899. The reversal of 72021248892 is 29884212027.

It is a happy number.

72021248892 is a `hidden beast` number, since 72 + 0 + 2 + 12 + 488 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×720212488922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72021248899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20592 + ... + 380087.

It is an arithmetic number, because the mean of its divisors is an integer number (5058073020).

Almost surely, 272021248892 is an apocalyptic number.

It is an amenable number.

72021248892 is an abundant number, since it is smaller than the sum of its proper divisors (110069379828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72021248892 is a wasteful number, since it uses less digits than its factorization.

72021248892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405682 (or 405677 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 72021248892 in words is "seventy-two billion, twenty-one million, two hundred forty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 4993 9986 14979 19972 29958 44937 59916 89874 179748 400679 801358 1202037 1602716 2404074 3606111 4808148 7212222 14424444 2000590247 4001180494 6001770741 8002360988 12003541482 18005312223 24007082964 36010624446 72021248892