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4693225056 = 2531312729611
BaseRepresentation
bin1000101111011110…
…01110111001100000
3110010002010112110020
410113233032321200
534102431200211
62053412033440
7224205516612
oct42757167140
913102115406
104693225056
111a992264a3
12aab902880
1359a42b160
14327446db2
151c705a306
hex117bcee60

4693225056 has 96 divisors (see below), whose sum is σ = 13372305408. Its totient is φ = 1432650240.

The previous prime is 4693225027. The next prime is 4693225057. The reversal of 4693225056 is 6505223964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46932250562 = 44052722852532406272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4693224999 and 4693225017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4693225057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143691 + ... + 173301.

It is an arithmetic number, because the mean of its divisors is an integer number (139294848).

Almost surely, 24693225056 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 4693225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686152704).

4693225056 is an abundant number, since it is smaller than the sum of its proper divisors (8679080352).

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

4693225056 is a wasteful number, since it uses less digits than its factorization.

4693225056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29764 (or 29756 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 4693225056 is about 68507.1168273779. The cubic root of 4693225056 is about 1674.2634386543.

The spelling of 4693225056 in words is "four billion, six hundred ninety-three million, two hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 624 762 1016 1248 1524 1651 2032 3048 3302 4064 4953 6096 6604 9906 12192 13208 19812 26416 29611 39624 52832 59222 79248 88833 118444 158496 177666 236888 355332 384943 473776 710664 769886 947552 1154829 1421328 1539772 2309658 2842656 3079544 3760597 4619316 6159088 7521194 9238632 11281791 12318176 15042388 18477264 22563582 30084776 36954528 45127164 48887761 60169552 90254328 97775522 120339104 146663283 180508656 195551044 293326566 361017312 391102088 586653132 782204176 1173306264 1564408352 2346612528 4693225056