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4074068736 = 283213712907
BaseRepresentation
bin1111001011010101…
…0101101100000000
3101111221002010122200
43302311111230000
531320430144421
61512133233200
7202650004263
oct36265255400
911457063580
104074068736
111800784161
12958492800
134cc08617a
142a9114cda
1518ca06726
hexf2d55b00

4074068736 has 108 divisors (see below), whose sum is σ = 11833202472. Its totient is φ = 1348005888.

The previous prime is 4074068731. The next prime is 4074068737. The reversal of 4074068736 is 6378604704.

It is a junction number, because it is equal to n+sod(n) for n = 4074068691 and 4074068700.

It is not an unprimeable number, because it can be changed into a prime (4074068731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309195 + ... + 322101.

Almost surely, 24074068736 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 4074068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916601236).

4074068736 is an abundant number, since it is smaller than the sum of its proper divisors (7759133736).

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

4074068736 is a wasteful number, since it uses less digits than its factorization.

4074068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13066 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4074068736 is about 63828.4320346348. The cubic root of 4074068736 is about 1597.1392548007.

The spelling of 4074068736 in words is "four billion, seventy-four million, sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 548 576 768 822 1096 1152 1233 1644 2192 2304 2466 3288 4384 4932 6576 8768 9864 12907 13152 17536 19728 25814 26304 35072 38721 39456 51628 52608 77442 78912 103256 105216 116163 154884 157824 206512 232326 309768 315648 413024 464652 619536 826048 929304 1239072 1652096 1768259 1858608 2478144 3304192 3536518 3717216 4956288 5304777 7073036 7434432 9912576 10609554 14146072 14868864 15914331 21219108 28292144 29737728 31828662 42438216 56584288 63657324 84876432 113168576 127314648 169752864 226337152 254629296 339505728 452674304 509258592 679011456 1018517184 1358022912 2037034368 4074068736