Search a number
-
+
107152251880 = 23517236851167
BaseRepresentation
bin110001111001011000…
…1011001101111101000
3101020120121212101100111
41203302301121233220
53223421434030010
6121120340344104
710512222053542
oct1436261315750
9336517771314
10107152251880
114149671a873
12189250a5034
13a14852254b
145286cd0692
152bc20ca58a
hex18f2c59be8

107152251880 has 64 divisors (see below), whose sum is σ = 266373411840. Its totient is φ = 38585766912.

The previous prime is 107152251841. The next prime is 107152251887. The reversal of 107152251880 is 88152251701.

It is a super-2 number, since 2×1071522518802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (107152251887) 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, 3409944 + ... + 3441223.

It is an arithmetic number, because the mean of its divisors is an integer number (4162084560).

Almost surely, 2107152251880 is an apocalyptic number.

107152251880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107152251880 is an abundant number, since it is smaller than the sum of its proper divisors (159221159960).

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

107152251880 is a wasteful number, since it uses less digits than its factorization.

107152251880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851218 (or 6851214 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 40.

The spelling of 107152251880 in words is "one hundred seven billion, one hundred fifty-two million, two hundred fifty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 6851167 13702334 27404668 34255835 54809336 68511670 116469839 137023340 157576841 232939678 274046680 315153682 465879356 582349195 630307364 787884205 931758712 1164698390 1260614728 1575768410 2329396780 2678806297 3151536820 4658793560 5357612594 6303073640 10715225188 13394031485 21430450376 26788062970 53576125940 107152251880