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107345158338 = 231153179171439
BaseRepresentation
bin110001111111001000…
…1010010000011000010
3101021002001212001021010
41203332101102003002
53224320330031323
6121151431141350
710520053535205
oct1437621220302
9337061761233
10107345158338
11415855a82a0
1218979814856
13a179494b92
1452a478793c
152bd3ed2c93
hex18fe4520c2

107345158338 has 64 divisors (see below), whose sum is σ = 239961139200. Its totient is φ = 31736602560.

The previous prime is 107345158303. The next prime is 107345158339. The reversal of 107345158338 is 833851543701.

It is a super-2 number, since 2×1073451583382 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107345158339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540423 + ... + 711861.

It is an arithmetic number, because the mean of its divisors is an integer number (3749392800).

Almost surely, 2107345158338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107345158338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119980569600).

107345158338 is an abundant number, since it is smaller than the sum of its proper divisors (132615980862).

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

107345158338 is a wasteful number, since it uses less digits than its factorization.

107345158338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171687.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 107345158338 in words is "one hundred seven billion, three hundred forty-five million, one hundred fifty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 179 318 358 537 583 1074 1166 1749 1969 3498 3938 5907 9487 11814 18974 28461 56922 104357 171439 208714 313071 342878 514317 626142 1028634 1885829 3771658 5657487 9086267 11314974 18172534 27258801 30687581 54517602 61375162 92062743 99948937 184125486 199897874 299846811 337563391 599693622 675126782 1012690173 1626441793 2025380346 3252883586 4879325379 9758650758 17890859723 35781719446 53672579169 107345158338