Search a number
-
+
135258372827124 = 223311494051602383
BaseRepresentation
bin11110110000010001001011…
…010000111110011111110100
3122201220120111120011221212120
4132300101023100332133310
5120212033121420431444
61155400501052515540
740330044366233241
oct3660211320763764
9581816446157776
10135258372827124
113a108832311978
1213205b8b47bbb0
135a61a6b2677c1
14255877c3505c8
1510985a9bc6b19
hex7b044b43e7f4

135258372827124 has 96 divisors (see below), whose sum is σ = 328051579699200. Its totient is φ = 43328132496000.

The previous prime is 135258372827051. The next prime is 135258372827131. The reversal of 135258372827124 is 421728273852531.

It is a super-2 number, since 2×1352583728271242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224237637 + ... + 224840019.

It is an arithmetic number, because the mean of its divisors is an integer number (3417203955200).

Almost surely, 2135258372827124 is an apocalyptic number.

It is an amenable number.

135258372827124 is an abundant number, since it is smaller than the sum of its proper divisors (192793206872076).

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

135258372827124 is a wasteful number, since it uses less digits than its factorization.

135258372827124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606621 (or 606619 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The spelling of 135258372827124 in words is "one hundred thirty-five trillion, two hundred fifty-eight billion, three hundred seventy-two million, eight hundred twenty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 149 186 298 372 447 596 894 1788 4051 4619 8102 9238 12153 13857 16204 18476 24306 27714 48612 55428 125581 251162 376743 502324 602383 603599 753486 1204766 1207198 1506972 1807149 1810797 2409532 2414396 3614298 3621594 7228596 7243188 18673873 18711569 37347746 37423138 56021619 56134707 74695492 74846276 89755067 112043238 112269414 179510134 224086476 224538828 269265201 359020268 538530402 1077060804 2440253533 2782407077 4880507066 5564814154 7320760599 8347221231 9761014132 11129628308 14641521198 16694442462 29283042396 33388884924 75647859523 151295719046 226943578569 302591438092 363597776417 453887157138 727195552834 907774314276 1090793329251 1454391105668 2181586658502 4363173317004 11271531068927 22543062137854 33814593206781 45086124275708 67629186413562 135258372827124