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41153540052 = 22329597327457
BaseRepresentation
bin100110010100111100…
…010010111111010100
310221020001122102222010
4212110330102333110
51133240301240202
630523343104220
72654552214222
oct462474227724
9127201572863
1041153540052
11164a9111829
127b862a2070
133b5b05aa41
141dc5885b12
15110cde676c
hex994f12fd4

41153540052 has 96 divisors (see below), whose sum is σ = 102407356800. Its totient is φ = 12841500672.

The previous prime is 41153539937. The next prime is 41153540101. The reversal of 41153540052 is 25004535114.

It is a super-2 number, since 2×411535400522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1485108 + ... + 1512564.

It is an arithmetic number, because the mean of its divisors is an integer number (1066743300).

Almost surely, 241153540052 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 41153540052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51203678400).

41153540052 is an abundant number, since it is smaller than the sum of its proper divisors (61253816748).

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

41153540052 is a wasteful number, since it uses less digits than its factorization.

41153540052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27625 (or 27623 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 41153540052 in words is "forty-one billion, one hundred fifty-three million, five hundred forty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 58 59 73 87 116 118 146 174 177 219 236 292 348 354 438 708 876 1711 2117 3422 4234 4307 5133 6351 6844 8468 8614 10266 12702 12921 17228 20532 25404 25842 27457 51684 54914 82371 109828 124903 164742 249806 329484 374709 499612 749418 796253 1498836 1592506 1619963 2004361 2388759 3185012 3239926 4008722 4777518 4859889 6013083 6479852 8017444 9555036 9719778 12026166 19439556 24052332 46978927 58126469 93957854 116252938 118257299 140936781 174379407 187915708 232505876 236514598 281873562 348758814 354771897 473029196 563747124 697517628 709543794 1419087588 3429461671 6858923342 10288385013 13717846684 20576770026 41153540052