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1329636674848 = 25294342179147
BaseRepresentation
bin10011010110010100100…
…001011000110100100000
311201010000122222112012011
4103112110201120310200
5133241043442043343
62454454320242304
7165030431154256
oct23262441306440
94633018875164
101329636674848
1147299426a6a9
12195838770394
13984cc11c131
14484d76585d6
15248c0bd229d
hex13594858d20

1329636674848 has 96 divisors (see below), whose sum is σ = 2777581920960. Its totient is φ = 625468677120.

The previous prime is 1329636674827. The next prime is 1329636674851. The reversal of 1329636674848 is 8484766369231.

It is a super-4 number, since 4×13296366748484 (a number of 50 digits) contains 4444 as substring.

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, 16760011 + ... + 16839157.

It is an arithmetic number, because the mean of its divisors is an integer number (28933145010).

Almost surely, 21329636674848 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 1329636674848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388790960480).

1329636674848 is an abundant number, since it is smaller than the sum of its proper divisors (1447945246112).

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

1329636674848 is a wasteful number, since it uses less digits than its factorization.

1329636674848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79650 (or 79642 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 67.

The spelling of 1329636674848 in words is "one trillion, three hundred twenty-nine billion, six hundred thirty-six million, six hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 421 464 688 842 928 1247 1376 1684 2494 3368 4988 6736 9976 12209 13472 18103 19952 24418 36206 39904 48836 72412 79147 97672 144824 158294 195344 289648 316588 390688 524987 579296 633176 1049974 1266352 2099948 2295263 2532704 3403321 4199896 4590526 6806642 8399792 9181052 13613284 16799584 18362104 27226568 33320887 36724208 54453136 66641774 73448416 98696309 108906272 133283548 197392618 266567096 394785236 533134192 789570472 966305723 1066268384 1432798141 1579140944 1932611446 2865596282 3158281888 3865222892 5731192564 7730445784 11462385128 15460891568 22924770256 30921783136 41551146089 45849540512 83102292178 166204584356 332409168712 664818337424 1329636674848