Search a number
-
+
93148871208 = 23341186150867
BaseRepresentation
bin101011011000000011…
…0101111101000101000
322220102201000221100220
41112300012233220220
53011232102334313
6110443023330040
76505213225041
oct1266006575050
9286381027326
1093148871208
1136560122698
1216077450920
138a262cb993
1447191b78c8
152652a2a823
hex15b01afa28

93148871208 has 64 divisors (see below), whose sum is σ = 238684864320. Its totient is φ = 30275443200.

The previous prime is 93148871149. The next prime is 93148871237. The reversal of 93148871208 is 80217884139.

It is a Cunningham number, because it is equal to 3052032-1.

It is an unprimeable number.

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, 1805791 + ... + 1856657.

It is an arithmetic number, because the mean of its divisors is an integer number (3729451005).

Almost surely, 293148871208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93148871208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119342432160).

93148871208 is an abundant number, since it is smaller than the sum of its proper divisors (145535993112).

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

93148871208 is a wasteful number, since it uses less digits than its factorization.

93148871208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52778 (or 52774 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 93148871208 in words is "ninety-three billion, one hundred forty-eight million, eight hundred seventy-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1861 3722 5583 7444 11166 14888 22332 44664 50867 76301 101734 152601 152602 203468 228903 305202 305204 406936 457806 610404 610408 915612 1220808 1831224 2085547 4171094 6256641 8342188 12513282 16684376 25026564 50053128 94663487 189326974 283990461 378653948 567980922 757307896 1135961844 2271923688 3881202967 7762405934 11643608901 15524811868 23287217802 31049623736 46574435604 93148871208