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811242923540 = 22573725971741
BaseRepresentation
bin10111100111000011101…
…10001010011000010100
32212112221220200102200012
423303201312022120110
5101242411142023130
61420402503135352
7112416233034530
oct13634166123024
92775856612605
10811242923540
11293056532645
12111283744558
135b66630975a
142b39b5ccbc0
1516180368995
hexbce1d8a614

811242923540 has 144 divisors (see below), whose sum is σ = 2034970439040. Its totient is φ = 266032581120.

The previous prime is 811242923527. The next prime is 811242923549. The reversal of 811242923540 is 45329242118.

It is a super-2 number, since 2×8112429235402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811242923549) 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 47 ways as a sum of consecutive naturals, for example, 11272070 + ... + 11343810.

It is an arithmetic number, because the mean of its divisors is an integer number (14131739160).

Almost surely, 2811242923540 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 811242923540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017485219520).

811242923540 is an abundant number, since it is smaller than the sum of its proper divisors (1223727515500).

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

811242923540 is a wasteful number, since it uses less digits than its factorization.

811242923540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71890 (or 71851 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 811242923540 in words is "eight hundred eleven billion, two hundred forty-two million, nine hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 59 70 74 118 140 148 185 236 259 295 370 413 518 590 740 826 1036 1180 1295 1369 1652 2065 2183 2590 2738 4130 4366 5180 5476 6845 8260 8732 9583 10915 13690 15281 19166 21830 27380 30562 38332 43660 47915 61124 71741 76405 80771 95830 143482 152810 161542 191660 286964 305620 323084 358705 403855 502187 565397 717410 807710 1004374 1130794 1434820 1615420 2008748 2261588 2510935 2654417 2826985 4232719 5021870 5308834 5653970 8465438 10043740 10617668 11307940 13272085 16930876 18580919 21163595 26544170 29629033 37161838 42327190 53088340 59258066 74323676 84654380 92904595 98213429 118516132 148145165 156610603 185809190 196426858 296290330 313221206 371618380 392853716 491067145 592580660 626442412 687494003 783053015 982134290 1096274221 1374988006 1566106030 1964268580 2192548442 2749976012 3132212060 3437470015 4385096884 5481371105 5794592311 6874940030 10962742210 11589184622 13749880060 21925484420 23178369244 28972961555 40562146177 57945923110 81124292354 115891846220 162248584708 202810730885 405621461770 811242923540