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135848048310 = 232513985911777
BaseRepresentation
bin111111010000100101…
…1001011011010110110
3110222122111001212202200
41332201023023122312
54211204100021220
6142224023045330
712546304233612
oct1764113133266
9428574055680
10135848048310
1152681755407
12223b32a0846
13ca6c63a250
14680a042342
153801483890
hex1fa12cb6b6

135848048310 has 96 divisors (see below), whose sum is σ = 380445418080. Its totient is φ = 33433288704.

The previous prime is 135848048293. The next prime is 135848048321. The reversal of 135848048310 is 13840848531.

135848048310 is a `hidden beast` number, since 1 + 3 + 5 + 84 + 80 + 483 + 10 = 666.

It is a super-2 number, since 2×1358480483102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11529142 + ... + 11540918.

It is an arithmetic number, because the mean of its divisors is an integer number (3962973105).

Almost surely, 2135848048310 is an apocalyptic number.

135848048310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135848048310 is an abundant number, since it is smaller than the sum of its proper divisors (244597369770).

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

135848048310 is a wasteful number, since it uses less digits than its factorization.

135848048310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21662 (or 21659 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 135848048310 in words is "one hundred thirty-five billion, eight hundred forty-eight million, forty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 9859 11777 19718 23554 29577 35331 49295 58885 59154 70662 88731 98590 105993 117770 128167 147885 153101 176655 177462 211986 256334 295770 306202 353310 384501 443655 459303 529965 640835 765505 769002 887310 918606 1059930 1153503 1281670 1377909 1531010 1922505 2296515 2307006 2755818 3845010 4593030 5767515 6889545 11535030 13779090 116109443 232218886 348328329 580547215 696656658 1044984987 1161094430 1509422759 1741641645 2089969974 3018845518 3483283290 4528268277 5224924935 7547113795 9056536554 10449849870 13584804831 15094227590 22641341385 27169609662 45282682770 67924024155 135848048310