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36126355136 = 2629591033203
BaseRepresentation
bin100001101001010011…
…000110111011000000
310110020201002222201012
4201221103012323000
51042441321331021
624332441100052
72416146644354
oct415123067300
9113221088635
1036126355136
1114359427353
127002787628
1335396a1601
141a69d49464
15e168c035b
hex8694c6ec0

36126355136 has 112 divisors (see below), whose sum is σ = 76173177600. Its totient is φ = 16972956672.

The previous prime is 36126355129. The next prime is 36126355169. The reversal of 36126355136 is 63155362163.

It is a super-2 number, since 2×361263551362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36126355093 and 36126355102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11277311 + ... + 11280513.

Almost surely, 236126355136 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 36126355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38086588800).

36126355136 is an abundant number, since it is smaller than the sum of its proper divisors (40046822464).

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

36126355136 is a wasteful number, since it uses less digits than its factorization.

36126355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3396 counting only the distinct ones).

The product of its digits is 291600, while the sum is 41.

The spelling of 36126355136 in words is "thirty-six billion, one hundred twenty-six million, three hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 59 64 103 116 118 206 232 236 412 464 472 824 928 944 1648 1711 1856 1888 2987 3203 3296 3422 3776 5974 6077 6406 6592 6844 11948 12154 12812 13688 23896 24308 25624 27376 47792 48616 51248 54752 92887 95584 97232 102496 109504 176233 185774 188977 191168 194464 204992 329909 352466 371548 377954 388928 659818 704932 743096 755908 1319636 1409864 1486192 1511816 2639272 2819728 2972384 3023632 5278544 5480333 5639456 5944768 6047264 9567361 10557088 10960666 11278912 12094528 19134722 19464631 21114176 21921332 38269444 38929262 43842664 76538888 77858524 87685328 153077776 155717048 175370656 306155552 311434096 350741312 564474299 612311104 622868192 1128948598 1245736384 2257897196 4515794392 9031588784 18063177568 36126355136