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134314983648 = 2533315014747
BaseRepresentation
bin111110100010111001…
…1000000000011100000
3110211200122100010102000
41331011303000003200
54200034113434043
6141411540124000
712463310344416
oct1750563000340
9424618303360
10134314983648
1151a6534121a
1222045996600
13c886b3c0b1
1467025b32b6
153761aa72d3
hex1f45cc00e0

134314983648 has 96 divisors (see below), whose sum is σ = 404389278720. Its totient is φ = 43327405440.

The previous prime is 134314983589. The next prime is 134314983667. The reversal of 134314983648 is 846389413431.

134314983648 is a `hidden beast` number, since 134 + 3 + 149 + 8 + 364 + 8 = 666.

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 (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 134314983594 and 134314983603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2480590 + ... + 2534157.

It is an arithmetic number, because the mean of its divisors is an integer number (4212388320).

Almost surely, 2134314983648 is an apocalyptic number.

134314983648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134314983648 is an abundant number, since it is smaller than the sum of its proper divisors (270074295072).

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

134314983648 is a wasteful number, since it uses less digits than its factorization.

134314983648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014797 (or 5014783 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 134314983648 in words is "one hundred thirty-four billion, three hundred fourteen million, nine hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 5014747 10029494 15044241 20058988 30088482 40117976 45132723 60176964 80235952 90265446 120353928 135398169 155457157 160471904 180530892 240707856 270796338 310914314 361061784 466371471 481415712 541592676 621828628 722123568 932742942 1083185352 1243657256 1399114413 1444247136 1865485884 2166370704 2487314512 2798228826 3730971768 4197343239 4332741408 4974629024 5596457652 7461943536 8394686478 11192915304 14923887072 16789372956 22385830608 33578745912 44771661216 67157491824 134314983648