Search a number
-
+
381383077012 = 227431597198349
BaseRepresentation
bin1011000110011000011…
…00111110110010010100
31100110102020112200201121
411203030030332302110
522222033031431022
6451112134533324
736361012444420
oct5431414766224
91313366480647
10381383077012
1113781a893633
1261ab8507244
1329c6c668492
141465d865b80
159dc22cd2c7
hex58cc33ec94

381383077012 has 48 divisors (see below), whose sum is σ = 780997571200. Its totient is φ = 159547957632.

The previous prime is 381383076979. The next prime is 381383077021. The reversal of 381383077012 is 210770383183.

It is a super-2 number, since 2×3813830770122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 381383077012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1823614 + ... + 2021962.

Almost surely, 2381383077012 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 381383077012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390498785600).

381383077012 is an abundant number, since it is smaller than the sum of its proper divisors (399614494188).

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

381383077012 is a wasteful number, since it uses less digits than its factorization.

381383077012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200000 (or 199998 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 381383077012 in words is "three hundred eighty-one billion, three hundred eighty-three million, seventy-seven thousand, twelve".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 1597 3194 6388 11179 22358 44716 68671 137342 198349 274684 396698 480697 793396 961394 1388443 1922788 2776886 5553772 8529007 17058014 34116028 59703049 119406098 238812196 316763353 633526706 1267053412 2217343471 4434686942 8869373884 13620824179 27241648358 54483296716 95345769253 190691538506 381383077012