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1713238464 = 26374131091
BaseRepresentation
bin110011000011101…
…1111000111000000
311102101202112100110
41212013133013000
512002042112324
6442000351320
760312200220
oct14607370700
94371675313
101713238464
117aa095463
123b9915540
13213c33192
14123770080
15a061b329
hex661df1c0

1713238464 has 112 divisors (see below), whose sum is σ = 5307031296. Its totient is φ = 477542400.

The previous prime is 1713238463. The next prime is 1713238469. The reversal of 1713238464 is 4648323171.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1713238463) 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, 39559 + ... + 70649.

It is an arithmetic number, because the mean of its divisors is an integer number (47384208).

Almost surely, 21713238464 is an apocalyptic number.

1713238464 is a gapful number since it is divisible by the number (14) 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 1713238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653515648).

1713238464 is an abundant number, since it is smaller than the sum of its proper divisors (3593792832).

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

1713238464 is a wasteful number, since it uses less digits than its factorization.

1713238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31154 (or 31144 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 1713238464 is about 41391.2848797908. The cubic root of 1713238464 is about 1196.5732013017.

The spelling of 1713238464 in words is "one billion, seven hundred thirteen million, two hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2296 2624 3444 3936 4592 6888 7872 9184 13776 18368 27552 31091 55104 62182 93273 124364 186546 217637 248728 373092 435274 497456 652911 746184 870548 994912 1274731 1305822 1492368 1741096 1989824 2549462 2611644 2984736 3482192 3824193 5098924 5223288 5969472 6964384 7648386 8923117 10197848 10446576 13928768 15296772 17846234 20395696 20893152 26769351 30593544 35692468 40791392 41786304 53538702 61187088 71384936 81582784 107077404 122374176 142769872 214154808 244748352 285539744 428309616 571079488 856619232 1713238464