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10293199392 = 253734943889
BaseRepresentation
bin10011001011000010…
…11100001000100000
3222120100110201002010
421211201130020200
5132040024340032
64421214552520
7513034515450
oct114541341040
928510421063
1010293199392
114402274063
121bb3208740
13c80676a38
146d9085d60
154039c6ccc
hex26585c220

10293199392 has 96 divisors (see below), whose sum is σ = 30968784000. Its totient is φ = 2932420608.

The previous prime is 10293199391. The next prime is 10293199393. The reversal of 10293199392 is 29399139201.

It is an interprime number because it is at equal distance from previous prime (10293199391) and next prime (10293199393).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10293199391) 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, 212584 + ... + 256472.

It is an arithmetic number, because the mean of its divisors is an integer number (322591500).

Almost surely, 210293199392 is an apocalyptic number.

10293199392 is a gapful number since it is divisible by the number (12) 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 10293199392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484392000).

10293199392 is an abundant number, since it is smaller than the sum of its proper divisors (20675584608).

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

10293199392 is a wasteful number, since it uses less digits than its factorization.

10293199392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44258 (or 44250 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 48.

The spelling of 10293199392 in words is "ten billion, two hundred ninety-three million, one hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 349 672 698 1047 1396 2094 2443 2792 4188 4886 5584 7329 8376 9772 11168 14658 16752 19544 29316 33504 39088 43889 58632 78176 87778 117264 131667 175556 234528 263334 307223 351112 526668 614446 702224 921669 1053336 1228892 1404448 1843338 2106672 2457784 3686676 4213344 4915568 7373352 9831136 14746704 15317261 29493408 30634522 45951783 61269044 91903566 107220827 122538088 183807132 214441654 245076176 321662481 367614264 428883308 490152352 643324962 735228528 857766616 1286649924 1470457056 1715533232 2573299848 3431066464 5146599696 10293199392