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13132130360656 = 2419509142759473
BaseRepresentation
bin1011111100011000111111…
…1101110001110101010000
31201111102022202002022022211
42333012033331301311100
53210124100333020111
643532452320441504
72523523301212636
oct277061775616520
951442282068284
1013132130360656
11420333a26436a
121581117a79294
1374347c01ac88
14335854401356
1517b8e455d521
hexbf18ff71d50

13132130360656 has 80 divisors (see below), whose sum is σ = 26854509326400. Its totient is φ = 6203806930944.

The previous prime is 13132130360647. The next prime is 13132130360659. The reversal of 13132130360656 is 65606303123131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132130360659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220778536 + ... + 220838008.

It is an arithmetic number, because the mean of its divisors is an integer number (335681366580).

Almost surely, 213132130360656 is an apocalyptic number.

13132130360656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132130360656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427254663200).

13132130360656 is an abundant number, since it is smaller than the sum of its proper divisors (13722378965744).

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

13132130360656 is a wasteful number, since it uses less digits than its factorization.

13132130360656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61436 (or 61430 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

Adding to 13132130360656 its reverse (65606303123131), we get a palindrome (78738433483787).

The spelling of 13132130360656 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirty million, three hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 509 1018 1427 2036 2854 4072 5708 8144 9671 11416 19342 22832 27113 38684 54226 59473 77368 108452 118946 154736 216904 237892 433808 475784 726343 951568 1129987 1452686 2259974 2905372 4519948 5810744 9039896 11621488 13800517 18079792 27601034 30271757 55202068 60543514 84867971 110404136 121087028 169735942 220808272 242174056 339471884 484348112 575163383 678943768 1150326766 1357887536 1612491449 2300653532 3224982898 4601307064 6449965796 9202614128 12899931592 25799863184 43197797239 86395594478 172791188956 345582377912 691164755824 820758147541 1641516295082 3283032590164 6566065180328 13132130360656