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5046172938 = 233679111531
BaseRepresentation
bin1001011001100011…
…00111110100001010
3111000200021010221000
410230301213310022
540313310013223
62152420555430
7236022522312
oct45461476412
914020233830
105046172938
11215a484464
12b89b52b76
136255a7061
1435c280442
151e8027543
hex12cc67d0a

5046172938 has 64 divisors (see below), whose sum is σ = 11401021440. Its totient is φ = 1654052400.

The previous prime is 5046172933. The next prime is 5046172973. The reversal of 5046172938 is 8392716405.

5046172938 is a `hidden beast` number, since 5 + 0 + 4 + 617 + 29 + 3 + 8 = 666.

5046172938 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×50461729382 = 50927722640407103688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

5046172938 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5046172893 and 5046172902.

It is not an unprimeable number, because it can be changed into a prime (5046172933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3295233 + ... + 3296763.

It is an arithmetic number, because the mean of its divisors is an integer number (178140960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5046172938 = 10092345876, but 3⋅5046172938 = 15138518814 is not.

Almost surely, 25046172938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5046172938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700510720).

5046172938 is an abundant number, since it is smaller than the sum of its proper divisors (6354848502).

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

5046172938 is a wasteful number, since it uses less digits than its factorization.

5046172938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5046172938 is about 71036.4197999871. The cubic root of 5046172938 is about 1715.2234676661.

The spelling of 5046172938 in words is "five billion, forty-six million, one hundred seventy-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 911 1206 1531 1809 1822 2733 3062 3618 4593 5466 8199 9186 13779 16398 24597 27558 41337 49194 61037 82674 102577 122074 183111 205154 307731 366222 549333 615462 923193 1098666 1394741 1647999 1846386 2769579 2789482 3295998 4184223 5539158 8368446 12552669 25105338 37658007 75316014 93447647 186895294 280342941 560685882 841028823 1682057646 2523086469 5046172938