Search a number
-
+
39749805056 = 210133196323
BaseRepresentation
bin100101000001010001…
…011110010000000000
310210121020021022120002
4211001101132100000
51122401422230211
630132200135132
72605015524323
oct450121362000
9123536238502
1039749805056
1115948801965
1278541674a8
1339962a2210
141cd12807ba
151079a6503b
hex94145e400

39749805056 has 88 divisors (see below), whose sum is σ = 88334502144. Its totient is φ = 17754071040.

The previous prime is 39749805041. The next prime is 39749805079. The reversal of 39749805056 is 65050894793.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 39749804992 and 39749805010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364511 + ... + 460833.

Almost surely, 239749805056 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 39749805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44167251072).

39749805056 is an abundant number, since it is smaller than the sum of its proper divisors (48584697088).

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

39749805056 is a wasteful number, since it uses less digits than its factorization.

39749805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96387 (or 96369 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 56.

The spelling of 39749805056 in words is "thirty-nine billion, seven hundred forty-nine million, eight hundred five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 3224 3328 3968 6448 6656 7936 12896 13312 15872 25792 31744 51584 96323 103168 192646 206336 385292 412672 770584 1252199 1541168 2504398 2986013 3082336 5008796 5972026 6164672 10017592 11944052 12329344 20035184 23888104 24658688 38818169 40070368 47776208 49317376 77636338 80140736 95552416 98634752 155272676 160281472 191104832 310545352 320562944 382209664 621090704 641125888 764419328 1242181408 1282251776 1528838656 2484362816 3057677312 4968725632 9937451264 19874902528 39749805056