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7400216936 = 2374125112841
BaseRepresentation
bin1101110010001011…
…00101100101101000
3201002201210222012202
412321011211211220
5110123423420221
63222152155332
7351245543330
oct67105454550
921081728182
107400216936
113158258572
121526398b48
1390c1c21b8
14502b7a0c0
152d4a21d0b
hex1b9165968

7400216936 has 64 divisors (see below), whose sum is σ = 16310367360. Its totient is φ = 3081600000.

The previous prime is 7400216921. The next prime is 7400216939. The reversal of 7400216936 is 6396120047.

It is a super-2 number, since 2×74002169362 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7400216936.

It is not an unprimeable number, because it can be changed into a prime (7400216939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569876 + ... + 582716.

It is an arithmetic number, because the mean of its divisors is an integer number (254849490).

Almost surely, 27400216936 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 7400216936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155183680).

7400216936 is an abundant number, since it is smaller than the sum of its proper divisors (8910150424).

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

7400216936 is a wasteful number, since it uses less digits than its factorization.

7400216936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13146 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 7400216936 is about 86024.5135760732. The cubic root of 7400216936 is about 1948.7142026270.

The spelling of 7400216936 in words is "seven billion, four hundred million, two hundred sixteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 251 287 328 502 574 1004 1148 1757 2008 2296 3514 7028 10291 12841 14056 20582 25682 41164 51364 72037 82328 89887 102728 144074 179774 288148 359548 526481 576296 719096 1052962 2105924 3223091 3685367 4211848 6446182 7370734 12892364 14741468 22561637 25784728 29482936 45123274 90246548 132146731 180493096 264293462 528586924 925027117 1057173848 1850054234 3700108468 7400216936