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4951829268 = 223331247711
BaseRepresentation
bin1001001110010011…
…01110101100010100
3110210002201222202000
410213021232230110
540120132014033
62135210515300
7233465566011
oct44711565424
913702658660
104951829268
1121111a6691
12b62435b30
1360bb93cb9
1434d922708
151deadda13
hex12726eb14

4951829268 has 72 divisors (see below), whose sum is σ = 13265844480. Its totient is φ = 1597330800.

The previous prime is 4951829263. The next prime is 4951829279. The reversal of 4951829268 is 8629281594.

It is a happy number.

4951829268 is a `hidden beast` number, since 49 + 518 + 29 + 2 + 68 = 666.

It is a super-2 number, since 2×49518292682 = 49041226198842831648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4951829263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79933 + ... + 127643.

It is an arithmetic number, because the mean of its divisors is an integer number (184247840).

Almost surely, 24951829268 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 4951829268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632922240).

4951829268 is an abundant number, since it is smaller than the sum of its proper divisors (8314015212).

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

4951829268 is a wasteful number, since it uses less digits than its factorization.

4951829268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47786 (or 47747 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 4951829268 is about 70369.2352381351. The cubic root of 4951829268 is about 1704.4668305355.

The spelling of 4951829268 in words is "four billion, nine hundred fifty-one million, eight hundred twenty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 961 1116 1674 1922 2883 3348 3844 5766 8649 11532 17298 25947 34596 47711 51894 95422 103788 143133 190844 286266 429399 572532 858798 1288197 1479041 1717596 2576394 2958082 4437123 5152788 5916164 8874246 13311369 17748492 26622738 39934107 45850271 53245476 79868214 91700542 137550813 159736428 183401084 275101626 412652439 550203252 825304878 1237957317 1650609756 2475914634 4951829268