Search a number
-
+
4992895366368 = 253713571531063
BaseRepresentation
bin100100010100111111111…
…0000010011010011100000
3122200022112110111100021020
41020221333300103103200
51123300422203210433
614341412055325440
71023503413241430
oct110517760232340
918608473440236
104992895366368
1116555252a7118
126877a6680880
132a2a9c1b4740
1413392bd902c0
1589d23b39cb3
hex48a7fc134e0

4992895366368 has 96 divisors (see below), whose sum is σ = 16130892750336. Its totient is φ = 1316807566848.

The previous prime is 4992895366367. The next prime is 4992895366421. The reversal of 4992895366368 is 8636635982994.

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

It is a super-2 number, since 2×49928953663682 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 4992895366293 and 4992895366302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992895366367) 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, 285756796 + ... + 285774267.

It is an arithmetic number, because the mean of its divisors is an integer number (168030132816).

Almost surely, 24992895366368 is an apocalyptic number.

4992895366368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4992895366368 is an abundant number, since it is smaller than the sum of its proper divisors (11137997383968).

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

4992895366368 is a wasteful number, since it uses less digits than its factorization.

4992895366368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571531096 (or 571531088 counting only the distinct ones).

The product of its digits is 3627970560, while the sum is 78.

The spelling of 4992895366368 in words is "four trillion, nine hundred ninety-two billion, eight hundred ninety-five million, three hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 571531063 1143062126 1714593189 2286124252 3429186378 4000717441 4572248504 6858372756 7429903819 8001434882 9144497008 12002152323 13716745512 14859807638 16002869764 18288994016 22289711457 24004304646 27433491024 29719615276 32005739528 44579422914 48008609292 52009326733 54866982048 59439230552 64011479056 89158845828 96017218584 104018653466 118878461104 128022958112 156027980199 178317691656 192034437168 208037306932 237756922208 312055960398 356635383312 384068874336 416074613864 624111920796 713270766624 832149227728 1248223841592 1664298455456 2496447683184 4992895366368