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20421432342 = 23317311674297
BaseRepresentation
bin10011000001001101…
…100101010000010110
31221201012112020202000
4103001031211100112
5313310341313332
613214222100130
71322030211423
oct230115452026
957635466660
1020421432342
11872a403413
123b5b11a646
131c05ab159c
14dba268d4a
157e7c64b7c
hex4c1365416

20421432342 has 128 divisors (see below), whose sum is σ = 49909063680. Its totient is φ = 6161495040.

The previous prime is 20421432331. The next prime is 20421432371. The reversal of 20421432342 is 24323412402.

20421432342 is a `hidden beast` number, since 2 + 0 + 421 + 4 + 3 + 234 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4750338 + ... + 4754634.

It is an arithmetic number, because the mean of its divisors is an integer number (389914560).

Almost surely, 220421432342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20421432342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24954531840).

20421432342 is an abundant number, since it is smaller than the sum of its proper divisors (29487631338).

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

20421432342 is a wasteful number, since it uses less digits than its factorization.

20421432342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20421432342 its reverse (24323412402), we get a palindrome (44744844744).

The spelling of 20421432342 in words is "twenty billion, four hundred twenty-one million, four hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 167 186 279 306 334 459 501 527 558 837 918 1002 1054 1503 1581 1674 2839 3006 3162 4297 4509 4743 5177 5678 8517 8594 9018 9486 10354 12891 14229 15531 17034 25551 25782 28458 31062 38673 46593 51102 73049 76653 77346 88009 93186 116019 133207 139779 146098 153306 176018 219147 232038 264027 266414 279558 399621 438294 528054 657441 717599 792081 799242 1198863 1314882 1435198 1584162 1972323 2152797 2264519 2376243 2397726 3596589 3944646 4305594 4529038 4752486 6458391 6793557 7193178 12199183 12916782 13587114 19375173 20380671 22245569 24398366 36597549 38750346 40761342 44491138 61142013 66736707 73195098 109792647 122284026 133473414 200210121 219585294 329377941 378174673 400420242 600630363 658755882 756349346 1134524019 1201260726 2269048038 3403572057 6807144114 10210716171 20421432342