Search a number
-
+
943342913072 = 247232928344621
BaseRepresentation
bin11011011101000111001…
…11101000011000110000
310100011221012010012101002
431232203213220120300
5110423431241204242
62001211000301132
7125103626313410
oct15564347503060
93304835105332
10943342913072
11334084532a0a
121329ab7717a8
136ac59297431
143392d940640
1519812741432
hexdba39e8630

943342913072 has 160 divisors (see below), whose sum is σ = 2262828026880. Its totient is φ = 372049413120.

The previous prime is 943342913063. The next prime is 943342913099. The reversal of 943342913072 is 270319243349.

943342913072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21118922 + ... + 21163542.

It is an arithmetic number, because the mean of its divisors is an integer number (14142675168).

Almost surely, 2943342913072 is an apocalyptic number.

943342913072 is a gapful number since it is divisible by the number (92) 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 943342913072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131414013440).

943342913072 is an abundant number, since it is smaller than the sum of its proper divisors (1319485113808).

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

943342913072 is a wasteful number, since it uses less digits than its factorization.

943342913072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44971 (or 44965 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The spelling of 943342913072 in words is "nine hundred forty-three billion, three hundred forty-two million, nine hundred thirteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 112 116 161 184 203 232 283 322 368 406 464 566 644 667 812 1132 1288 1334 1624 1981 2264 2576 2668 3248 3962 4528 4669 5336 6509 7924 8207 9338 10672 13018 15848 16414 18676 26036 31696 32828 37352 44621 45563 52072 57449 65656 74704 89242 91126 104144 114898 131312 178484 182252 188761 229796 312347 356968 364504 377522 459592 624694 713936 729008 755044 919184 1026283 1249388 1294009 1321327 1510088 2052566 2498776 2588018 2642654 3020176 4105132 4997552 5176036 5285308 7183981 8210264 9058063 10352072 10570616 12627743 14367962 16420528 18116126 20704144 21141232 25255486 28735924 29762207 36232252 50510972 57471848 59524414 72464504 88394201 101021944 114943696 119048828 144929008 176788402 202043888 208335449 238097656 290438089 353576804 366204547 416670898 476195312 580876178 707153608 732409094 833341796 1161752356 1414307216 1464818188 1666683592 2033066623 2323504712 2563431829 2929636376 3333367184 4066133246 4647009424 5126863658 5859272752 8132266492 8422704581 10253727316 16264532984 16845409162 20507454632 32529065968 33690818324 41014909264 58958932067 67381636648 117917864134 134763273296 235835728268 471671456536 943342913072