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3117939696 = 24339917283
BaseRepresentation
bin1011100111010111…
…1111101111110000
322001021221202012000
42321311333233300
522341143032241
61233220134000
7140160023124
oct27165775760
98037852160
103117939696
11135aaa5273
12730237300
133a8c69741
14218147584
15133addeb6
hexb9d7fbf0

3117939696 has 80 divisors (see below), whose sum is σ = 8959902720. Its totient is φ = 1038121920.

The previous prime is 3117939683. The next prime is 3117939697. The reversal of 3117939696 is 6969397113.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117939697) 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, 424471 + ... + 431753.

It is an arithmetic number, because the mean of its divisors is an integer number (111998784).

Almost surely, 23117939696 is an apocalyptic number.

3117939696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3117939696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479951360).

3117939696 is an abundant number, since it is smaller than the sum of its proper divisors (5841963024).

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

3117939696 is a wasteful number, since it uses less digits than its factorization.

3117939696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291 (or 8279 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 54.

The square root of 3117939696 is about 55838.5144501535. The cubic root of 3117939696 is about 1460.9070013199.

It can be divided in two parts, 311793 and 9696, that added together give a square (321489 = 5672).

The spelling of 3117939696 in words is "three billion, one hundred seventeen million, nine hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 991 1982 2973 3964 5946 7283 7928 8919 11892 14566 15856 17838 21849 23784 26757 29132 35676 43698 47568 53514 58264 65547 71352 87396 107028 116528 131094 142704 174792 196641 214056 262188 349584 393282 428112 524376 786564 1048752 1573128 3146256 7217453 14434906 21652359 28869812 43304718 57739624 64957077 86609436 115479248 129914154 173218872 194871231 259828308 346437744 389742462 519656616 779484924 1039313232 1558969848 3117939696