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36240266132 = 227219103107883
BaseRepresentation
bin100001110000000101…
…101001001110010100
310110112122110021012222
4201300011221032110
51043210002004012
624352030401512
72422032115400
oct416005511624
9113478407188
1036240266132
111440775a374
127034960298
133557175b75
141a7b11c100
15e218c1972
hex870169394

36240266132 has 144 divisors (see below), whose sum is σ = 79234122240. Its totient is φ = 14418710208.

The previous prime is 36240266081. The next prime is 36240266147. The reversal of 36240266132 is 23166204263.

It is a junction number, because it is equal to n+sod(n) for n = 36240266092 and 36240266101.

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, 41041763 + ... + 41042645.

It is an arithmetic number, because the mean of its divisors is an integer number (550236960).

Almost surely, 236240266132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36240266132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39617061120).

36240266132 is an abundant number, since it is smaller than the sum of its proper divisors (42993856108).

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

36240266132 is a wasteful number, since it uses less digits than its factorization.

36240266132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 36240266132 in words is "thirty-six billion, two hundred forty million, two hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 103 107 133 196 206 214 266 412 428 532 721 749 883 931 1442 1498 1766 1862 1957 2033 2884 2996 3532 3724 3914 4066 5047 5243 6181 7828 8132 10094 10486 11021 12362 13699 14231 16777 20188 20972 22042 24724 27398 28462 33554 43267 44084 54796 56924 67108 77147 86534 90949 94481 95893 99617 117439 154294 173068 181898 188962 191786 199234 209399 234878 308588 363796 377924 383572 398468 418798 469756 540029 636643 661367 822073 837596 1080058 1273286 1322734 1465793 1644146 1728031 1795139 2160116 2546572 2645468 2931586 3288292 3456062 3590278 4456501 4629569 5863172 6912124 7180556 8913002 9259138 9731543 10260551 12096217 12565973 17826004 18518276 19463086 20521102 24192434 25131946 38926172 41042204 48384868 50263892 68120801 84673519 87961811 136241602 169347038 175923622 184899317 272483204 338694076 351847244 369798634 476845607 739597268 953691214 1294295219 1907382428 2588590438 5177180876 9060066533 18120133066 36240266132