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4246140768 = 253235233677
BaseRepresentation
bin1111110100010110…
…1111011101100000
3101221220212022002220
43331011233131200
532144003001033
61541201311040
7210136413102
oct37505573540
911856768086
104246140768
111889921451
129a6035480
1352891263c
142c3d07572
1519cb95bb3
hexfd16f760

4246140768 has 96 divisors (see below), whose sum is σ = 11656141056. Its totient is φ = 1350885888.

The previous prime is 4246140751. The next prime is 4246140793. The reversal of 4246140768 is 8670416424.

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

It is a super-2 number, since 2×42461407682 = 36059422843343259648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1152946 + ... + 1156622.

It is an arithmetic number, because the mean of its divisors is an integer number (121418136).

Almost surely, 24246140768 is an apocalyptic number.

4246140768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4246140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828070528).

4246140768 is an abundant number, since it is smaller than the sum of its proper divisors (7410000288).

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

4246140768 is a wasteful number, since it uses less digits than its factorization.

4246140768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4246140768 is about 65162.4183713281. The cubic root of 4246140768 is about 1619.3154614335.

The spelling of 4246140768 in words is "four billion, two hundred forty-six million, one hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 523 552 736 1046 1104 1569 2092 2208 3138 3677 4184 6276 7354 8368 11031 12029 12552 14708 16736 22062 24058 25104 29416 36087 44124 48116 50208 58832 72174 84571 88248 96232 117664 144348 169142 176496 192464 253713 288696 338284 352992 384928 507426 577392 676568 1014852 1154784 1353136 1923071 2029704 2706272 3846142 4059408 5769213 7692284 8118816 11538426 15384568 23076852 30769136 44230633 46153704 61538272 88461266 92307408 132691899 176922532 184614816 265383798 353845064 530767596 707690128 1061535192 1415380256 2123070384 4246140768