Search a number
-
+
10041907736 = 237895693541
BaseRepresentation
bin10010101101000101…
…10101101000011000
3221220211121202201202
421112202311220120
5131031212021421
64340240533332
7503563543640
oct112642655030
927824552652
1010041907736
114293438a03
121b43021248
13c405a1453
146b3951520
153db8da10b
hex2568b5a18

10041907736 has 64 divisors (see below), whose sum is σ = 21804552000. Its totient is φ = 4246640640.

The previous prime is 10041907727. The next prime is 10041907741. The reversal of 10041907736 is 63770914001.

It is a self number, because there is not a number n which added to its sum of digits gives 10041907736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2834126 + ... + 2837666.

It is an arithmetic number, because the mean of its divisors is an integer number (340696125).

Almost surely, 210041907736 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 10041907736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10902276000).

10041907736 is an abundant number, since it is smaller than the sum of its proper divisors (11762644264).

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

10041907736 is a wasteful number, since it uses less digits than its factorization.

10041907736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The spelling of 10041907736 in words is "ten billion, forty-one million, nine hundred seven thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 569 623 712 1138 1246 2276 2492 3541 3983 4552 4984 7082 7966 14164 15932 24787 28328 31864 49574 50641 99148 101282 198296 202564 315149 354487 405128 630298 708974 1260596 1417948 2014829 2206043 2521192 2835896 4029658 4412086 8059316 8824172 14103803 16118632 17648344 28207606 56415212 112830424 179319781 358639562 717279124 1255238467 1434558248 2510476934 5020953868 10041907736