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36141655264 = 25111373108193
BaseRepresentation
bin100001101010001101…
…011110010011100000
310110021202220022112121
4201222031132103200
51043004230432024
624334145034024
72416424000221
oct415215362340
9113252808477
1036141655264
1114367027590
127007925914
13353c8ca740
141a6bdad248
15e17de38e4
hex86a35e4e0

36141655264 has 96 divisors (see below), whose sum is σ = 84739271904. Its totient is φ = 14956462080.

The previous prime is 36141655261. The next prime is 36141655279. The reversal of 36141655264 is 46255614163.

It is a self number, because there is not a number n which added to its sum of digits gives 36141655264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36141655261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279952 + ... + 388144.

It is an arithmetic number, because the mean of its divisors is an integer number (882700749).

Almost surely, 236141655264 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 36141655264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42369635952).

36141655264 is an abundant number, since it is smaller than the sum of its proper divisors (48597616640).

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

36141655264 is a wasteful number, since it uses less digits than its factorization.

36141655264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108300 (or 108292 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The spelling of 36141655264 in words is "thirty-six billion, one hundred forty-one million, six hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 73 88 104 143 146 176 208 286 292 352 416 572 584 803 949 1144 1168 1606 1898 2288 2336 3212 3796 4576 6424 7592 10439 12848 15184 20878 25696 30368 41756 83512 108193 167024 216386 334048 432772 865544 1190123 1406509 1731088 2380246 2813018 3462176 4760492 5626036 7898089 9520984 11252072 15471599 15796178 19041968 22504144 30943198 31592356 38083936 45008288 61886396 63184712 86878979 102675157 123772792 126369424 173757958 205350314 247545584 252738848 347515916 410700628 495091168 695031832 821401256 1129426727 1390063664 1642802512 2258853454 2780127328 3285605024 4517706908 9035413816 18070827632 36141655264