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4270713264 = 2432311934957
BaseRepresentation
bin1111111010001101…
…1110100110110000
3102000122002201020100
43332203132212300
532221300311024
61543440112400
7210555315036
oct37643364660
912018081210
104270713264
1118a17850a4
129b2305700
13530a3708c
142c72a2556
1519edeb7c9
hexfe8de9b0

4270713264 has 120 divisors (see below), whose sum is σ = 12404043392. Its totient is φ = 1370234880.

The previous prime is 4270713247. The next prime is 4270713269. The reversal of 4270713264 is 4623170724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4270713269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859074 + ... + 864030.

Almost surely, 24270713264 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 4270713264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202021696).

4270713264 is an abundant number, since it is smaller than the sum of its proper divisors (8133330128).

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

4270713264 is a wasteful number, since it uses less digits than its factorization.

4270713264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4270713264 is about 65350.6944416048. The cubic root of 4270713264 is about 1622.4331247686.

Adding to 4270713264 its reverse (4623170724), we get a palindrome (8893883988).

The spelling of 4270713264 in words is "four billion, two hundred seventy million, seven hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 193 248 279 372 386 496 558 579 744 772 1116 1158 1488 1544 1737 2232 2316 3088 3474 4464 4632 4957 5983 6948 9264 9914 11966 13896 14871 17949 19828 23932 27792 29742 35898 39656 44613 47864 53847 59484 71796 79312 89226 95728 107694 118968 143592 153667 178452 215388 237936 287184 307334 356904 430776 461001 614668 713808 861552 922002 956701 1229336 1383003 1844004 1913402 2458672 2766006 2870103 3688008 3826804 5532012 5740206 7376016 7653608 8610309 11064024 11480412 15307216 17220618 22128048 22960824 29657731 34441236 45921648 59315462 68882472 88973193 118630924 137764944 177946386 237261848 266919579 355892772 474523696 533839158 711785544 1067678316 1423571088 2135356632 4270713264