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613215230206644 = 2232132059363627881
BaseRepresentation
bin1000101101101101110100101…
…1111101111010001010110100
32222102012210200202000001022200
42023123131023331322022310
51120333404242413103034
610012111104315224500
7243110224025511432
oct21333351375721264
92872183622001280
10613215230206644
11168431133a6657a
1258939277a48130
1320421c42c325b0
14ab5dabdda1d52
154ad6206e12a99
hex22db74bf7a2b4

613215230206644 has 72 divisors (see below), whose sum is σ = 1669389214830792. Its totient is φ = 188672443914240.

The previous prime is 613215230206619. The next prime is 613215230206727. The reversal of 613215230206644 is 446602032512316.

613215230206644 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 1 + 523 + 0 + 20 + 66 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21047339956644 + 592167890250000 = 4587738^2 + 24334500^2 .

It is a super-3 number, since 3×6132152302066443 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 613215230206644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22176417 + ... + 41451464.

Almost surely, 2613215230206644 is an apocalyptic number.

It is an amenable number.

613215230206644 is an abundant number, since it is smaller than the sum of its proper divisors (1056173984624148).

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

613215230206644 is a wasteful number, since it uses less digits than its factorization.

613215230206644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63648497 (or 63648492 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 613215230206644 in words is "six hundred thirteen trillion, two hundred fifteen billion, two hundred thirty million, two hundred six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 20593 41186 61779 82372 123558 185337 247116 267709 370674 535418 741348 803127 1070836 1606254 2409381 3212508 4818762 9637524 63627881 127255762 190883643 254511524 381767286 572650929 763534572 827162453 1145301858 1654324906 2290603716 2481487359 3308649812 4962974718 7444462077 9925949436 14888924154 29777848308 1310288953433 2620577906866 3930866860299 5241155813732 7861733720598 11792600580897 15723467441196 17033756394629 23585201161794 34067512789258 47170402323588 51101269183887 68135025578516 102202538367774 153303807551661 204405076735548 306607615103322 613215230206644