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36264274056 = 2332619478719
BaseRepresentation
bin100001110001100001…
…001110100010001000
310110121022121222220100
4201301201032202020
51043232123232211
624354245125400
72422443146343
oct416141164210
9113538558810
1036264274056
111441a26792a
1270409b9860
13355c13063a
141a803ab45a
15e23a65156
hex87184e888

36264274056 has 96 divisors (see below), whose sum is σ = 99942710400. Its totient is φ = 11876008320.

The previous prime is 36264274051. The next prime is 36264274091. The reversal of 36264274056 is 65047246263.

It is a super-2 number, since 2×362642740562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36264274051) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4154865 + ... + 4163583.

It is an arithmetic number, because the mean of its divisors is an integer number (1041069900).

Almost surely, 236264274056 is an apocalyptic number.

36264274056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36264274056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49971355200).

36264274056 is an abundant number, since it is smaller than the sum of its proper divisors (63678436344).

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

36264274056 is a wasteful number, since it uses less digits than its factorization.

36264274056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9739 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 36264274056 in words is "thirty-six billion, two hundred sixty-four million, two hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 947 1098 1464 1894 2196 2841 3788 4392 5682 7576 8523 8719 11364 17046 17438 22728 26157 34092 34876 52314 57767 68184 69752 78471 104628 115534 156942 173301 209256 231068 313884 346602 462136 519903 531859 627768 693204 1039806 1063718 1386408 1595577 2079612 2127436 3191154 4159224 4254872 4786731 6382308 8256893 9573462 12764616 16513786 19146924 24770679 33027572 38293848 49541358 66055144 74312037 99082716 148624074 198165432 297248148 503670473 594496296 1007340946 1511011419 2014681892 3022022838 4029363784 4533034257 6044045676 9066068514 12088091352 18132137028 36264274056