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13087948430232 = 23321331214480247
BaseRepresentation
bin1011111001110100011010…
…0001000101101110011000
31201100012021121222200202100
42332131012201011232120
53203413104244231412
643500304232403400
72520400364050104
oct276350641055630
951305247880670
1013087948430232
114196627761085
121574647546560
1373c25a748590
14333662682904
1517a6aa865edc
hexbe746845b98

13087948430232 has 96 divisors (see below), whose sum is σ = 38185422518880. Its totient is φ = 4025769845760.

The previous prime is 13087948430213. The next prime is 13087948430251. The reversal of 13087948430232 is 23203484978031.

It is a happy number.

13087948430232 is a `hidden beast` number, since 1 + 30 + 8 + 79 + 484 + 30 + 2 + 32 = 666.

13087948430232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13087948430213) and next prime (13087948430251).

It is a super-2 number, since 2×130879484302322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681133 + ... + 5161379.

It is an arithmetic number, because the mean of its divisors is an integer number (397764817905).

Almost surely, 213087948430232 is an apocalyptic number.

13087948430232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13087948430232 is an abundant number, since it is smaller than the sum of its proper divisors (25097474088648).

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

13087948430232 is a wasteful number, since it uses less digits than its factorization.

13087948430232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483393 (or 4483386 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 13087948430232 in words is "thirteen trillion, eighty-seven billion, nine hundred forty-eight million, four hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3121 6242 9363 12484 18726 24968 28089 37452 40573 56178 74904 81146 112356 121719 162292 224712 243438 324584 365157 486876 730314 973752 1460628 2921256 4480247 8960494 13440741 17920988 26881482 35841976 40322223 53762964 58243211 80644446 107525928 116486422 161288892 174729633 232972844 322577784 349459266 465945688 524188899 698918532 1048377798 1397837064 2096755596 4193511192 13982850887 27965701774 41948552661 55931403548 83897105322 111862807096 125845657983 167794210644 181777061531 251691315966 335588421288 363554123062 503382631932 545331184593 727108246124 1006765263864 1090662369186 1454216492248 1635993553779 2181324738372 3271987107558 4362649476744 6543974215116 13087948430232