Search a number
-
+
36556149072 = 24341891131847
BaseRepresentation
bin100010000010111010…
…101001000101010000
310111100122211210011010
4202002322221011100
51044331333232242
624443233050520
72432616066042
oct420272510520
9114318753133
1036556149072
1114559aa1953
1271026b6a40
1335a7745151
141aab067a92
15e3e4bb89c
hex882ea9150

36556149072 has 160 divisors (see below), whose sum is σ = 98746179840. Its totient is φ = 11644272640.

The previous prime is 36556149023. The next prime is 36556149083. The reversal of 36556149072 is 27094165563.

It is a super-2 number, since 2×365561490722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19791253 + ... + 19793099.

It is an arithmetic number, because the mean of its divisors is an integer number (617163624).

Almost surely, 236556149072 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 36556149072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49373089920).

36556149072 is an abundant number, since it is smaller than the sum of its proper divisors (62190030768).

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

36556149072 is a wasteful number, since it uses less digits than its factorization.

36556149072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 36556149072 in words is "thirty-six billion, five hundred fifty-six million, one hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 89 113 123 164 178 226 246 267 328 339 356 452 492 534 656 678 712 904 984 1068 1356 1424 1808 1847 1968 2136 2712 3649 3694 4272 4633 5424 5541 7298 7388 9266 10057 10947 11082 13899 14596 14776 18532 20114 21894 22164 27798 29192 29552 30171 37064 40228 43788 44328 55596 58384 60342 74128 75727 80456 87576 88656 111192 120684 151454 160912 164383 175152 208711 222384 227181 241368 302908 328766 412337 417422 454362 482736 493149 605816 626133 657532 824674 834844 908724 986298 1211632 1237011 1252266 1315064 1649348 1669688 1817448 1972596 2474022 2504532 2630128 3298696 3339376 3634896 3945192 4948044 5009064 6597392 6739703 7890384 8557151 9896088 10018128 13479406 17114302 18575279 19792176 20219109 25671453 26958812 34228604 37150558 40438218 51342906 53917624 55725837 68457208 74301116 80876436 102685812 107835248 111451674 136914416 148602232 161752872 205371624 222903348 297204464 323505744 410743248 445806696 761586439 891613392 1523172878 2284759317 3046345756 4569518634 6092691512 9139037268 12185383024 18278074536 36556149072