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4699925136 = 24322921972
BaseRepresentation
bin1000110000010001…
…10010101010010000
3110010112201221020100
410120020302222100
534111140101021
62054211412400
7224316463434
oct43010625220
913115657210
104699925136
111aa1a92355
12ab1bb4100
1359b9359ba
143282ac9c4
151c7930626
hex118232a90

4699925136 has 135 divisors (see below), whose sum is σ = 13691964091. Its totient is φ = 1504941312.

The previous prime is 4699925099. The next prime is 4699925147. The reversal of 4699925136 is 6315299964.

The square root of 4699925136 is 68556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1799456400 + 2900468736 = 42420^2 + 53856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23857390 + ... + 23857586.

Almost surely, 24699925136 is an apocalyptic number.

4699925136 is the 68556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4699925136

4699925136 is an abundant number, since it is smaller than the sum of its proper divisors (8992038955).

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

4699925136 is a wasteful number, since it uses less digits than its factorization.

4699925136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 231 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The cubic root of 4699925136 is about 1675.0597897719.

The spelling of 4699925136 in words is "four billion, six hundred ninety-nine million, nine hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 197 232 261 348 394 464 522 591 696 788 841 1044 1182 1392 1576 1682 1773 2088 2364 2523 3152 3364 3546 4176 4728 5046 5713 6728 7092 7569 9456 10092 11426 13456 14184 15138 17139 20184 22852 28368 30276 34278 38809 40368 45704 51417 60552 68556 77618 91408 102834 116427 121104 137112 155236 165677 205668 232854 274224 310472 331354 349281 411336 465708 497031 620944 662708 698562 822672 931416 994062 1125461 1325416 1397124 1491093 1862832 1988124 2250922 2650832 2794248 2982186 3376383 3976248 4501844 5588496 5964372 6752766 7952496 9003688 10129149 11928744 13505532 18007376 20258298 23857488 27011064 32638369 40516596 54022128 65276738 81033192 97915107 130553476 162066384 195830214 261106952 293745321 391660428 522213904 587490642 783320856 1174981284 1566641712 2349962568 4699925136