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4864835136 = 263726313763
BaseRepresentation
bin1001000011111011…
…10111111001000000
3110120001001020020010
410201331313321000
534430344211021
62122422144520
7231361262550
oct44175677100
913501036203
104864835136
112077088707
12b39282140
135c6b55295
14342159160
151d7157976
hex121f77e40

4864835136 has 112 divisors (see below), whose sum is σ = 14767340544. Its totient is φ = 1384567296.

The previous prime is 4864835123. The next prime is 4864835149. The reversal of 4864835136 is 6315384684.

It is an interprime number because it is at equal distance from previous prime (4864835123) and next prime (4864835149).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346591 + ... + 360353.

Almost surely, 24864835136 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 4864835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383670272).

4864835136 is an abundant number, since it is smaller than the sum of its proper divisors (9902505408).

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

4864835136 is a wasteful number, since it uses less digits than its factorization.

4864835136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048 (or 14038 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 4864835136 is about 69748.3701314948. The cubic root of 4864835136 is about 1694.4263987876.

The spelling of 4864835136 in words is "four billion, eight hundred sixty-four million, eight hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 263 336 448 526 672 789 1052 1344 1578 1841 2104 3156 3682 4208 5523 6312 7364 8416 11046 12624 13763 14728 16832 22092 25248 27526 29456 41289 44184 50496 55052 58912 82578 88368 96341 110104 117824 165156 176736 192682 220208 289023 330312 353472 385364 440416 578046 660624 770728 880832 1156092 1321248 1541456 2312184 2642496 3082912 3619669 4624368 6165824 7239338 9248736 10859007 14478676 18497472 21718014 25337683 28957352 43436028 50675366 57914704 76013049 86872056 101350732 115829408 152026098 173744112 202701464 231658816 304052196 347488224 405402928 608104392 694976448 810805856 1216208784 1621611712 2432417568 4864835136