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93853144272 = 24312785917923
BaseRepresentation
bin101011101101000010…
…1010101010011010000
322222020210020201101110
41113122011111103100
53014202401104042
6111040542333320
76531524364216
oct1273205252320
9288223221343
1093853144272
1136891720448
121623328a240
138b091a5cc4
144784944cb6
15269479409c
hex15da1554d0

93853144272 has 80 divisors (see below), whose sum is σ = 244661166080. Its totient is φ = 31000185216.

The previous prime is 93853144271. The next prime is 93853144291. The reversal of 93853144272 is 27244135839.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93853144271) 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 15 ways as a sum of consecutive naturals, for example, 5227503 + ... + 5245425.

It is an arithmetic number, because the mean of its divisors is an integer number (3058264576).

Almost surely, 293853144272 is an apocalyptic number.

It is an amenable number.

93853144272 is an abundant number, since it is smaller than the sum of its proper divisors (150808021808).

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

93853144272 is a wasteful number, since it uses less digits than its factorization.

93853144272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18920 (or 18914 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 93853144272 in words is "ninety-three billion, eight hundred fifty-three million, one hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 859 1016 1524 1718 2032 2577 3048 3436 5154 6096 6872 10308 13744 17923 20616 35846 41232 53769 71692 107538 109093 143384 215076 218186 286768 327279 430152 436372 654558 860304 872744 1309116 1745488 2276221 2618232 4552442 5236464 6828663 9104884 13657326 15395857 18209768 27314652 30791714 36419536 46187571 54629304 61583428 92375142 109258608 123166856 184750284 246333712 369500568 739001136 1955273839 3910547678 5865821517 7821095356 11731643034 15642190712 23463286068 31284381424 46926572136 93853144272