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135379999566 = 2337273700877
BaseRepresentation
bin111111000010101000…
…1101101101101001110
3110221102212100112121000
41332011101231231032
54204224234441231
6142105343121130
712531562003200
oct1760521555516
9427385315530
10135379999566
1152461531469
12222a25a31a6
13c9c6691326
1467a3c06770
1537c532c6e6
hex1f8546db4e

135379999566 has 96 divisors (see below), whose sum is σ = 354756408480. Its totient is φ = 38150082432.

The previous prime is 135379999543. The next prime is 135379999571. The reversal of 135379999566 is 665999973531.

135379999566 is a `hidden beast` number, since 1 + 3 + 53 + 7 + 9 + 9 + 9 + 9 + 566 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135379999494 and 135379999503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157281 + ... + 543596.

It is an arithmetic number, because the mean of its divisors is an integer number (3695379255).

Almost surely, 2135379999566 is an apocalyptic number.

135379999566 is an abundant number, since it is smaller than the sum of its proper divisors (219376408914).

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

135379999566 is a wasteful number, since it uses less digits than its factorization.

135379999566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700975 (or 700962 counting only the distinct ones).

The product of its digits is 372008700, while the sum is 72.

The spelling of 135379999566 in words is "one hundred thirty-five billion, three hundred seventy-nine million, nine hundred ninety-nine thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 73 98 126 146 147 189 219 294 378 438 441 511 657 882 1022 1314 1323 1533 1971 2646 3066 3577 3942 4599 7154 9198 10731 13797 21462 27594 32193 64386 96579 193158 700877 1401754 2102631 4205262 4906139 6307893 9812278 12615786 14718417 18923679 29436834 34342973 37847358 44155251 51164021 68685946 88310502 102328042 103028919 132465753 153492063 206057838 264931506 306984126 309086757 358148147 460476189 618173514 716296294 920952378 927260271 1074444441 1381428567 1854520542 2148888882 2507037029 2762857134 3223333323 5014074058 6446666646 7521111087 9669999969 15042222174 19339999938 22563333261 45126666522 67689999783 135379999566