Search a number
-
+
41393137168 = 24238310912433
BaseRepresentation
bin100110100011001110…
…010010011000010000
310221211202111020102101
4212203032102120100
51134233120342133
631003222330144
72663521601125
oct464316223020
9127752436371
1041393137168
111661138a679
128032589954
133b9889a396
14200961474c
151123e7337d
hex9a3392610

41393137168 has 80 divisors (see below), whose sum is σ = 85478279040. Its totient is φ = 19377211392.

The previous prime is 41393137133. The next prime is 41393137183. The reversal of 41393137168 is 86173139314.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 3323080 + ... + 3335512.

It is an arithmetic number, because the mean of its divisors is an integer number (1068478488).

Almost surely, 241393137168 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 41393137168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42739139520).

41393137168 is an abundant number, since it is smaller than the sum of its proper divisors (44085141872).

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

41393137168 is a wasteful number, since it uses less digits than its factorization.

41393137168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12656 (or 12650 counting only the distinct ones).

The product of its digits is 326592, while the sum is 46.

The spelling of 41393137168 in words is "forty-one billion, three hundred ninety-three million, one hundred thirty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 83 92 109 166 184 218 332 368 436 664 872 1328 1744 1909 2507 3818 5014 7636 9047 10028 12433 15272 18094 20056 24866 30544 36188 40112 49732 72376 99464 144752 198928 208081 285959 416162 571918 832324 1031939 1143836 1355197 1664648 2063878 2287672 2710394 3329296 4127756 4575344 5420788 8255512 10841576 16511024 21683152 23734597 31169531 47469194 62339062 94938388 112481351 124678124 189876776 224962702 249356248 379753552 449925404 498712496 899850808 1799701616 2587071073 5174142146 10348284292 20696568584 41393137168