Search a number
-
+
40883652096 = 293716722769
BaseRepresentation
bin100110000100110110…
…110000011000000000
310220112020210201021220
4212010312300120000
51132212203331341
630440502315040
72645064210660
oct460466603000
9126466721256
1040883652096
111637a834a31
127b0ba28a80
133b17173c21
141d9bab01a0
1510e4384a66
hex984db0600

40883652096 has 160 divisors (see below), whose sum is σ = 125226984960. Its totient is φ = 11610587136.

The previous prime is 40883652091. The next prime is 40883652109. The reversal of 40883652096 is 69025638804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40883652091) 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, 1784200 + ... + 1806968.

It is an arithmetic number, because the mean of its divisors is an integer number (782668656).

Almost surely, 240883652096 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 40883652096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62613492480).

40883652096 is an abundant number, since it is smaller than the sum of its proper divisors (84343332864).

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

40883652096 is a wasteful number, since it uses less digits than its factorization.

40883652096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22964 (or 22948 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 40883652096 in words is "forty billion, eight hundred eighty-three million, six hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 167 168 192 224 256 334 336 384 448 501 512 668 672 768 896 1002 1169 1336 1344 1536 1792 2004 2338 2672 2688 3507 3584 4008 4676 5344 5376 7014 8016 9352 10688 10752 14028 16032 18704 21376 22769 28056 32064 37408 42752 45538 56112 64128 68307 74816 85504 91076 112224 128256 136614 149632 159383 182152 224448 256512 273228 299264 318766 364304 448896 478149 546456 598528 637532 728608 897792 956298 1092912 1275064 1457216 1795584 1912596 2185824 2550128 2914432 3802423 3825192 4371648 5100256 5828864 7604846 7650384 8743296 10200512 11407269 11657728 15209692 15300768 17486592 20401024 22814538 26616961 30419384 30601536 34973184 40802048 45629076 53233922 60838768 61203072 79850883 81604096 91258152 106467844 121677536 122406144 159701766 182516304 212935688 243355072 244812288 319403532 365032608 425871376 486710144 638807064 730065216 851742752 973420288 1277614128 1460130432 1703485504 1946840576 2555228256 2920260864 3406971008 5110456512 5840521728 6813942016 10220913024 13627884032 20441826048 40883652096