Search a number
-
+
147265746768 = 24327891641539
BaseRepresentation
bin1000100100100110111…
…0001111011101010000
3112002010012111001120100
42021021232033131100
54403100012344033
6151353012012400
713432245123330
oct2111156173520
9462105431510
10147265746768
1157500747238
122465b001100
1310b6bc61b3a
1471b05a30c0
153c6da30513
hex2249b8f750

147265746768 has 120 divisors (see below), whose sum is σ = 476309246400. Its totient is φ = 41603139072.

The previous prime is 147265746707. The next prime is 147265746809. The reversal of 147265746768 is 867647562741.

147265746768 is a `hidden beast` number, since 1 + 47 + 26 + 57 + 467 + 68 = 666.

It is a super-2 number, since 2×1472657467682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731058 + ... + 910481.

It is an arithmetic number, because the mean of its divisors is an integer number (3969243720).

Almost surely, 2147265746768 is an apocalyptic number.

147265746768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

147265746768 is an abundant number, since it is smaller than the sum of its proper divisors (329043499632).

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

147265746768 is a wasteful number, since it uses less digits than its factorization.

147265746768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641649 (or 1641640 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 147265746768 in words is "one hundred forty-seven billion, two hundred sixty-five million, seven hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 504 534 623 712 801 1008 1068 1246 1424 1602 1869 2136 2492 3204 3738 4272 4984 5607 6408 7476 9968 11214 12816 14952 22428 29904 44856 89712 1641539 3283078 4924617 6566156 9849234 11490773 13132312 14773851 19698468 22981546 26264624 29547702 34472319 39396936 45963092 59095404 68944638 78793872 91926184 103416957 118190808 137889276 146096971 183852368 206833914 236381616 275778552 292193942 413667828 438290913 551557104 584387884 827335656 876581826 1022678797 1168775768 1314872739 1654671312 1753163652 2045357594 2337551536 2629745478 3068036391 3506327304 4090715188 5259490956 6136072782 7012654608 8181430376 9204109173 10518981912 12272145564 16362860752 18408218346 21037963824 24544291128 36816436692 49088582256 73632873384 147265746768