Search a number
-
+
46354113696 = 25311593172347
BaseRepresentation
bin101011001010111010…
…111010010010100000
311102122111102221211210
4223022322322102200
51224413123114241
633143401310120
73230461315422
oct531272722240
9142574387753
1046354113696
1118727763780
128b97a95340
1344a9614a57
14235a438812
15131476c316
hexacaeba4a0

46354113696 has 192 divisors, whose sum is σ = 135474716160. Its totient is φ = 13759196160.

The previous prime is 46354113661. The next prime is 46354113703. The reversal of 46354113696 is 69631145364.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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 31 ways as a sum of consecutive naturals, for example, 19749195 + ... + 19751541.

It is an arithmetic number, because the mean of its divisors is an integer number (705597480).

Almost surely, 246354113696 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 46354113696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737358080).

46354113696 is an abundant number, since it is smaller than the sum of its proper divisors (89120602464).

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

46354113696 is a wasteful number, since it uses less digits than its factorization.

46354113696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2739 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The spelling of 46354113696 in words is "forty-six billion, three hundred fifty-four million, one hundred thirteen thousand, six hundred ninety-six".