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18820422072 = 23323731322571
BaseRepresentation
bin10001100001110010…
…001101100110111000
31210120121221111112100
4101201302031212320
5302021012001242
612351310543400
71234246643124
oct214162154670
953517844470
1018820422072
117a88701731
123792b07b60
131a0c1b3a2a
14ca7790584
1575241654c
hex461c8d9b8

18820422072 has 96 divisors (see below), whose sum is σ = 52519175280. Its totient is φ = 6084149760.

The previous prime is 18820422053. The next prime is 18820422077. The reversal of 18820422072 is 27022402881.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18820422077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822547 + ... + 845117.

Almost surely, 218820422072 is an apocalyptic number.

18820422072 is a gapful number since it is divisible by the number (12) 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 18820422072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26259587640).

18820422072 is an abundant number, since it is smaller than the sum of its proper divisors (33698753208).

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

18820422072 is a wasteful number, since it uses less digits than its factorization.

18820422072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22933 (or 22926 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

It can be divided in two parts, 188204 and 22072, that added together give a triangular number (210276 = T648).

The spelling of 18820422072 in words is "eighteen billion, eight hundred twenty million, four hundred twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 313 333 444 626 666 888 939 1252 1332 1878 2504 2664 2817 3756 5634 7512 11268 11581 22536 22571 23162 34743 45142 46324 67713 69486 90284 92648 104229 135426 138972 180568 203139 208458 270852 277944 406278 416916 541704 812556 833832 835127 1625112 1670254 2505381 3340508 5010762 6681016 7064723 7516143 10021524 14129446 15032286 20043048 21194169 28258892 30064572 42388338 56517784 60129144 63582507 84776676 127165014 169553352 254330028 261394751 508660056 522789502 784184253 1045579004 1568368506 2091158008 2352552759 3136737012 4705105518 6273474024 9410211036 18820422072