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93247000920 = 23325259019447
BaseRepresentation
bin101011011010111110…
…1000101000101011000
322220200112200110000200
41112311331011011120
53011432213012140
6110500450502200
76510514300353
oct1266575050530
9286615613020
1093247000920
1136600556a27
12160a4294960
138a407390b8
14472823d29a
15265b461030
hex15b5f45158

93247000920 has 48 divisors (see below), whose sum is σ = 303052754160. Its totient is φ = 24865866816.

The previous prime is 93247000919. The next prime is 93247000927. The reversal of 93247000920 is 2900074239.

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 (93247000927) 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 11 ways as a sum of consecutive naturals, for example, 129509364 + ... + 129510083.

It is an arithmetic number, because the mean of its divisors is an integer number (6313599045).

Almost surely, 293247000920 is an apocalyptic number.

93247000920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93247000920 is an abundant number, since it is smaller than the sum of its proper divisors (209805753240).

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

93247000920 is a wasteful number, since it uses less digits than its factorization.

93247000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259019464 (or 259019457 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 93247000920 in words is "ninety-three billion, two hundred forty-seven million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 259019447 518038894 777058341 1036077788 1295097235 1554116682 2072155576 2331175023 2590194470 3108233364 3885291705 4662350046 5180388940 6216466728 7770583410 9324700092 10360777880 11655875115 15541166820 18649400184 23311750230 31082333640 46623500460 93247000920