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7400068896 = 2531112795479
BaseRepresentation
bin1101110010001010…
…00001011100100000
3201002201112110010210
412321011001130200
5110123404201041
63222145054120
7351244355613
oct67105013440
921081473123
107400068896
113158167320
121526327340
1390c16c9bc
14502b3c17a
152d49e3016
hex1b9141720

7400068896 has 96 divisors (see below), whose sum is σ = 21211545600. Its totient is φ = 2240282880.

The previous prime is 7400068889. The next prime is 7400068903. The reversal of 7400068896 is 6988600047.

It is an interprime number because it is at equal distance from previous prime (7400068889) and next prime (7400068903).

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

It is a super-2 number, since 2×74000688962 (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347885 + ... + 1353363.

It is an arithmetic number, because the mean of its divisors is an integer number (220953600).

Almost surely, 27400068896 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 7400068896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10605772800).

7400068896 is an abundant number, since it is smaller than the sum of its proper divisors (13811476704).

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

7400068896 is a wasteful number, since it uses less digits than its factorization.

7400068896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 7400068896 is about 86023.6531193601. The cubic root of 7400068896 is about 1948.7012079821.

The spelling of 7400068896 in words is "seven billion, four hundred million, sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1279 2558 3837 5116 5479 7674 10232 10958 14069 15348 16437 20464 21916 28138 30696 32874 40928 42207 43832 56276 60269 61392 65748 84414 87664 112552 120538 122784 131496 168828 175328 180807 225104 241076 262992 337656 361614 450208 482152 525984 675312 723228 964304 1350624 1446456 1928608 2892912 5785824 7007641 14015282 21022923 28030564 42045846 56061128 77084051 84091692 112122256 154168102 168183384 224244512 231252153 308336204 336366768 462504306 616672408 672733536 925008612 1233344816 1850017224 2466689632 3700034448 7400068896