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994226249520 = 2432572341533947
BaseRepresentation
bin11100111011111001000…
…00001001111100110000
310112001021100002111210200
432131330200021330300
5112242133404441040
62040424034555200
7131554565453160
oct16357440117460
93461240074720
10994226249520
11353715886789
12140830438b00
13729a8047c3a
14361996d05a0
151acde920630
hexe77c809f30

994226249520 has 960 divisors, whose sum is σ = 4156977936384. Its totient is φ = 208015441920.

The previous prime is 994226249503. The next prime is 994226249537. The reversal of 994226249520 is 25942622499.

994226249520 is a `hidden beast` number, since 9 + 9 + 4 + 2 + 2 + 624 + 9 + 5 + 2 + 0 = 666.

994226249520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (994226249503) and next prime (994226249537).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251892187 + ... + 251896133.

Almost surely, 2994226249520 is an apocalyptic number.

994226249520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994226249520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078488968192).

994226249520 is an abundant number, since it is smaller than the sum of its proper divisors (3162751686864).

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

994226249520 is a wasteful number, since it uses less digits than its factorization.

994226249520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 994226249520 in words is "nine hundred ninety-four billion, two hundred twenty-six million, two hundred forty-nine thousand, five hundred twenty".