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6949398464 = 263121031097
BaseRepresentation
bin1100111100011011…
…10110011111000000
3122221022112000112022
412132031312133000
5103213021222324
63105325421012
7334132624631
oct63615663700
918838460468
106949398464
112a46832a18
12141b40a768
13869999ac8
1449cd47888
152aa17105e
hex19e3767c0

6949398464 has 84 divisors (see below), whose sum is σ = 14400867312. Its totient is φ = 3326929920.

The previous prime is 6949398461. The next prime is 6949398473. The reversal of 6949398464 is 4648939496.

It is a super-2 number, since 2×69493984642 = 96588278022891118592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 6949398397 and 6949398406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6949398461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6334364 + ... + 6335460.

Almost surely, 26949398464 is an apocalyptic number.

6949398464 is a gapful number since it is divisible by the number (64) 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 6949398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200433656).

6949398464 is an abundant number, since it is smaller than the sum of its proper divisors (7451468848).

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

6949398464 is a wasteful number, since it uses less digits than its factorization.

6949398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1233 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 62.

The square root of 6949398464 is about 83363.0521514178. The cubic root of 6949398464 is about 1908.3106380237.

The spelling of 6949398464 in words is "six billion, nine hundred forty-nine million, three hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 103 124 206 248 412 496 824 961 992 1097 1648 1922 1984 2194 3193 3296 3844 4388 6386 6592 7688 8776 12772 15376 17552 25544 30752 34007 35104 51088 61504 68014 70208 98983 102176 112991 136028 197966 204352 225982 272056 395932 451964 544112 791864 903928 1054217 1088224 1583728 1807856 2108434 2176448 3167456 3502721 3615712 4216868 6334912 7005442 7231424 8433736 14010884 16867472 28021768 33734944 56043536 67469888 108584351 112087072 217168702 224174144 434337404 868674808 1737349616 3474699232 6949398464