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36354510136 = 2373761383751
BaseRepresentation
bin100001110110111001…
…011100110100111000
310110211121102110112101
4201312321130310320
51043423223311021
624411231153144
72424620144320
oct416671346470
9113747373471
1036354510136
111446619a5aa
1270670757b4
133574a35b79
141a8c37a280
15e2b93ba91
hex876e5cd38

36354510136 has 128 divisors (see below), whose sum is σ = 81640488960. Its totient is φ = 14852160000.

The previous prime is 36354510053. The next prime is 36354510191. The reversal of 36354510136 is 63101545363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 36354510095 and 36354510104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48407761 + ... + 48408511.

It is an arithmetic number, because the mean of its divisors is an integer number (637816320).

Almost surely, 236354510136 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 36354510136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40820244480).

36354510136 is an abundant number, since it is smaller than the sum of its proper divisors (45285978824).

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

36354510136 is a wasteful number, since it uses less digits than its factorization.

36354510136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 36354510136 in words is "thirty-six billion, three hundred fifty-four million, five hundred ten thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 37 56 61 74 122 148 244 259 296 383 427 488 518 751 766 854 1036 1502 1532 1708 2072 2257 2681 3004 3064 3416 4514 5257 5362 6008 9028 10514 10724 14171 15799 18056 21028 21448 23363 27787 28342 31598 42056 45811 46726 55574 56684 63196 91622 93452 99197 111148 113368 126392 163541 183244 186904 194509 198394 222296 287633 320677 327082 366488 389018 396788 575266 641354 654164 778036 793576 864431 1150532 1282708 1308328 1556072 1695007 1728862 2013431 2301064 2565416 3390014 3457724 4026862 6051017 6780028 6915448 8053724 10642421 11865049 12102034 13560056 16107448 17545613 21284842 23730098 24204068 35091226 42569684 47460196 48408136 70182452 74496947 85139368 94920392 122819291 140364904 148993894 245638582 297987788 491277164 595975576 649187681 982554328 1298375362 2596750724 4544313767 5193501448 9088627534 18177255068 36354510136