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135236034630 = 232531103470599
BaseRepresentation
bin111110111110010110…
…0100010000001000110
3110221001211110100211100
41331330230202001012
54203430411102010
6142043201320530
712525163220304
oct1757454420106
9427054410740
10135236034630
1152398241484
1222262336146
13c9a28c6388
14678ca4d274
1537b78912c0
hex1f7cb22046

135236034630 has 96 divisors (see below), whose sum is σ = 366480691200. Its totient is φ = 34560717120.

The previous prime is 135236034613. The next prime is 135236034649. The reversal of 135236034630 is 36430632531.

135236034630 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 3 + 603 + 46 + 3 + 0 = 666.

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, 52071 + ... + 522669.

It is an arithmetic number, because the mean of its divisors is an integer number (3817507200).

Almost surely, 2135236034630 is an apocalyptic number.

135236034630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135236034630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183240345600).

135236034630 is an abundant number, since it is smaller than the sum of its proper divisors (231244656570).

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

135236034630 is a wasteful number, since it uses less digits than its factorization.

135236034630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470746 (or 470743 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 135236034630 in words is "one hundred thirty-five billion, two hundred thirty-six million, thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 103 155 186 206 279 309 310 465 515 558 618 927 930 1030 1395 1545 1854 2790 3090 3193 4635 6386 9270 9579 15965 19158 28737 31930 47895 57474 95790 143685 287370 470599 941198 1411797 2352995 2823594 4235391 4705990 7058985 8470782 14117970 14588569 21176955 29177138 42353910 43765707 48471697 72942845 87531414 96943394 131297121 145415091 145885690 218828535 242358485 262594242 290830182 436245273 437657070 484716970 656485605 727075455 872490546 1312971210 1454150910 1502622607 2181226365 3005245214 4362452730 4507867821 7513113035 9015735642 13523603463 15026226070 22539339105 27047206926 45078678210 67618017315 135236034630