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4117623342 = 237196184589
BaseRepresentation
bin1111010101101101…
…1111001000101110
3101121222000221100020
43311123133020232
531413102421332
61520330543010
7204016135530
oct36533371056
911558027306
104117623342
1118233223a8
1296ab97a66
135080c5921
142b0c11850
1519175b82c
hexf56df22e

4117623342 has 64 divisors (see below), whose sum is σ = 10069593600. Its totient is φ = 1096260480.

The previous prime is 4117623331. The next prime is 4117623347. The reversal of 4117623342 is 2433267114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117623347) 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, 6384 + ... + 90972.

It is an arithmetic number, because the mean of its divisors is an integer number (157337400).

Almost surely, 24117623342 is an apocalyptic number.

4117623342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117623342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034796800).

4117623342 is an abundant number, since it is smaller than the sum of its proper divisors (5951970258).

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

4117623342 is a wasteful number, since it uses less digits than its factorization.

4117623342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84681.

The product of its digits is 24192, while the sum is 33.

The square root of 4117623342 is about 64168.7099917086. The cubic root of 4117623342 is about 1602.8105992644.

The spelling of 4117623342 in words is "four billion, one hundred seventeen million, six hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 114 122 133 183 266 366 399 427 798 854 1159 1281 2318 2562 3477 6954 8113 16226 24339 48678 84589 169178 253767 507534 592123 1184246 1607191 1776369 3214382 3552738 4821573 5159929 9643146 10319858 11250337 15479787 22500674 30959574 33751011 36119503 67502022 72239006 98038651 108358509 196077302 216717018 294115953 588231906 686270557 1372541114 2058811671 4117623342