Search a number
-
+
41275870632 = 23324115678923
BaseRepresentation
bin100110011100001110…
…111100110110101000
310221112120211110222100
4212130032330312220
51134013110330012
630543433053400
72660566053153
oct463416746650
9127476743870
1041275870632
1116561175587
127bbb257260
133b7a4bc6b9
141dd7c0ac9a
151118a0c8dc
hex99c3bcda8

41275870632 has 96 divisors (see below), whose sum is σ = 114601294080. Its totient is φ = 13412977920.

The previous prime is 41275870631. The next prime is 41275870697. The reversal of 41275870632 is 23607857214.

41275870632 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 5 + 8 + 7 + 0 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (41275870631) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4621323 + ... + 4630245.

It is an arithmetic number, because the mean of its divisors is an integer number (1193763480).

Almost surely, 241275870632 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 41275870632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57300647040).

41275870632 is an abundant number, since it is smaller than the sum of its proper divisors (73325423448).

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

41275870632 is a wasteful number, since it uses less digits than its factorization.

41275870632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 41275870632 in words is "forty-one billion, two hundred seventy-five million, eight hundred seventy thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 1567 2952 3134 4701 6268 8923 9402 12536 14103 17846 18804 26769 28206 35692 37608 53538 56412 64247 71384 80307 107076 112824 128494 160614 192741 214152 256988 321228 365843 385482 513976 578223 642456 731686 770964 1097529 1156446 1463372 1541928 2195058 2312892 2926744 3292587 4390116 4625784 6585174 8780232 13170348 13982341 26340696 27964682 41947023 55929364 83894046 111858728 125841069 167788092 251682138 335576184 503364276 573275981 1006728552 1146551962 1719827943 2293103924 3439655886 4586207848 5159483829 6879311772 10318967658 13758623544 20637935316 41275870632