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13421957976 = 2332757146639
BaseRepresentation
bin11001000000000001…
…01101001101011000
31021122101210002222200
430200000231031120
5204442010123401
610055503050200
7653415521550
oct144000551530
937571702880
1013421957976
115768388759
122726ba0960
13135b93098b
14914808160
15538501686
hex32002d358

13421957976 has 96 divisors (see below), whose sum is σ = 41617804800. Its totient is φ = 3828047040.

The previous prime is 13421957953. The next prime is 13421958001. The reversal of 13421957976 is 67975912431.

13421957976 is a `hidden beast` number, since 13 + 42 + 19 + 579 + 7 + 6 = 666.

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, 264465 + ... + 311103.

It is an arithmetic number, because the mean of its divisors is an integer number (433518800).

Almost surely, 213421957976 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 13421957976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808902400).

13421957976 is an abundant number, since it is smaller than the sum of its proper divisors (28195846824).

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

13421957976 is a wasteful number, since it uses less digits than its factorization.

13421957976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47229 (or 47222 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 13421957976 in words is "thirteen billion, four hundred twenty-one million, nine hundred fifty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 571 1142 1713 2284 3426 3997 4568 5139 6852 7994 10278 11991 13704 15988 20556 23982 31976 35973 41112 46639 47964 71946 93278 95928 139917 143892 186556 279834 287784 326473 373112 419751 559668 652946 839502 979419 1119336 1305892 1679004 1958838 2611784 2938257 3358008 3917676 5876514 7835352 11753028 23506056 26630869 53261738 79892607 106523476 159785214 186416083 213046952 239677821 319570428 372832166 479355642 559248249 639140856 745664332 958711284 1118496498 1491328664 1677744747 1917422568 2236992996 3355489494 4473985992 6710978988 13421957976