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13087610003076 = 22371572933386989
BaseRepresentation
bin1011111001110011001001…
…0110000101111010000100
31201100011102001011210222020
42332130302112011322010
53203411411130044301
643500210503003140
72520356114343030
oct276346226057204
951304361153866
1013087610003076
114196473720814
1215745721394b0
1373c2055b4b1b
1433362d7491c0
1517a68acb6436
hexbe732585e84

13087610003076 has 96 divisors (see below), whose sum is σ = 35242470923520. Its totient is φ = 3702817857024.

The previous prime is 13087610002979. The next prime is 13087610003081. The reversal of 13087610003076 is 67030001678031.

13087610003076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130876100030762 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2170590 + ... + 5557578.

It is an arithmetic number, because the mean of its divisors is an integer number (367109072120).

Almost surely, 213087610003076 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 13087610003076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621235461760).

13087610003076 is an abundant number, since it is smaller than the sum of its proper divisors (22154860920444).

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

13087610003076 is a wasteful number, since it uses less digits than its factorization.

13087610003076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387453 (or 3387451 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 13087610003076 in words is "thirteen trillion, eighty-seven billion, six hundred ten million, three thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 293 314 471 586 628 879 942 1099 1172 1758 1884 2051 2198 3297 3516 4102 4396 6153 6594 8204 12306 13188 24612 46001 92002 138003 184004 276006 322007 552012 644014 966021 1288028 1932042 3386989 3864084 6773978 10160967 13547956 20321934 23708923 40643868 47417846 71126769 94835692 142253538 284507076 531757273 992387777 1063514546 1595271819 1984775554 2127029092 2977163331 3190543638 3722300911 3969551108 5954326662 6381087276 6946714439 7444601822 11166902733 11908653324 13893428878 14889203644 20840143317 22333805466 27786857756 41680286634 44667610932 83360573268 155804880989 311609761978 467414642967 623219523956 934829285934 1090634166923 1869658571868 2181268333846 3271902500769 4362536667692 6543805001538 13087610003076