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73057511124 = 223213156105793
BaseRepresentation
bin100010000001010010…
…0010010011011010100
320222120111121002122100
41010002210102123110
52144110210323444
653321232002100
75164301412153
oct1040244223324
9228514532570
1073057511124
1128a90073474
12121aa990330
136b73a17030
143770b0d59a
151d78c64e69
hex11029126d4

73057511124 has 36 divisors (see below), whose sum is σ = 198878781556. Its totient is φ = 22479234048.

The previous prime is 73057511119. The next prime is 73057511129. The reversal of 73057511124 is 42111575037.

73057511124 is a `hidden beast` number, since 73 + 0 + 57 + 511 + 1 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (73057511119) and next prime (73057511129).

It can be written as a sum of positive squares in 2 ways, for example, as 16175261124 + 56882250000 = 127182^2 + 238500^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73057511129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78052429 + ... + 78053364.

Almost surely, 273057511124 is an apocalyptic number.

It is an amenable number.

73057511124 is an abundant number, since it is smaller than the sum of its proper divisors (125821270432).

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

73057511124 is a wasteful number, since it uses less digits than its factorization.

73057511124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156105816 (or 156105811 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 73057511124 in words is "seventy-three billion, fifty-seven million, five hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 156105793 312211586 468317379 624423172 936634758 1404952137 1873269516 2029375309 2809904274 4058750618 5619808548 6088125927 8117501236 12176251854 18264377781 24352503708 36528755562 73057511124