Search a number
-
+
49120651440 = 2432579746161
BaseRepresentation
bin101101101111110100…
…011010100010110000
311200210022011122011200
4231233310122202300
51301044341321230
634322110011200
73356153435220
oct555764324260
9150708148150
1049120651440
1119917366503
12962a4a6b00
13482a827133
14253da2c080
151427597160
hexb6fd1a8b0

49120651440 has 120 divisors (see below), whose sum is σ = 188529757728. Its totient is φ = 11227576320.

The previous prime is 49120651427. The next prime is 49120651453. The reversal of 49120651440 is 4415602194.

49120651440 is a `hidden beast` number, since 4 + 9 + 1 + 206 + 5 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (49120651427) and next prime (49120651453).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49120651395 and 49120651404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4868041 + ... + 4878120.

Almost surely, 249120651440 is an apocalyptic number.

49120651440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49120651440 is an abundant number, since it is smaller than the sum of its proper divisors (139409106288).

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

49120651440 is a wasteful number, since it uses less digits than its factorization.

49120651440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746187 (or 9746178 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 49120651440 in words is "forty-nine billion, one hundred twenty million, six hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 9746161 19492322 29238483 38984644 48730805 58476966 68223127 77969288 87715449 97461610 116953932 136446254 146192415 155938576 175430898 194923220 204669381 233907864 272892508 292384830 341115635 350861796 389846440 409338762 438577245 467815728 545785016 584769660 614008143 682231270 701723592 779692880 818677524 877154490 1023346905 1091570032 1169539320 1228016286 1364462540 1403447184 1637355048 1754308980 2046693810 2339078640 2456032572 2728925080 3070040715 3274710096 3508617960 4093387620 4912065144 5457850160 6140081430 7017235920 8186775240 9824130288 12280162860 16373550480 24560325720 49120651440