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21346038324 = 223313136111171
BaseRepresentation
bin10011111000010100…
…101011001000110100
32001002122100002201000
4103320110223020310
5322204041211244
613450051403300
71353655221612
oct237024531064
961078302630
1021346038324
119064311596
1241788b3530
132022511a10
141066d8c6b2
1584e002169
hex4f852b234

21346038324 has 96 divisors (see below), whose sum is σ = 59647754880. Its totient is φ = 6562598400.

The previous prime is 21346038277. The next prime is 21346038331. The reversal of 21346038324 is 42383064312.

21346038324 is a `hidden beast` number, since 2 + 13 + 4 + 603 + 8 + 32 + 4 = 666.

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

It is a congruent number.

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, 1905259 + ... + 1916429.

It is an arithmetic number, because the mean of its divisors is an integer number (621330780).

Almost surely, 221346038324 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 21346038324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29823877440).

21346038324 is an abundant number, since it is smaller than the sum of its proper divisors (38301716556).

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

21346038324 is a wasteful number, since it uses less digits than its factorization.

21346038324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12558 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 21346038324 in words is "twenty-one billion, three hundred forty-six million, thirty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1361 1404 2722 4083 5444 8166 11171 12249 16332 17693 22342 24498 33513 35386 36747 44684 48996 53079 67026 70772 73494 100539 106158 134052 145223 146988 159237 201078 212316 290446 301617 318474 402156 435669 477711 580892 603234 636948 871338 955422 1206468 1307007 1742676 1910844 2614014 3921021 5228028 7842042 15203731 15684084 30407462 45611193 60814924 91222386 136833579 182444772 197648503 273667158 395297006 410500737 547334316 592945509 790594012 821001474 1185891018 1642002948 1778836527 2371782036 3557673054 5336509581 7115346108 10673019162 21346038324