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20716029558 = 23371731103993
BaseRepresentation
bin10011010010110001…
…011000011001110110
31222110201212100011000
4103102301120121312
5314411300421213
613303344224130
71332235226430
oct232261303166
958421770130
1020716029558
118870727694
12402190b046
131c51b3a173
141007433650
15813a57c73
hex4d2c58676

20716029558 has 128 divisors (see below), whose sum is σ = 57504522240. Its totient is φ = 5390945280.

The previous prime is 20716029539. The next prime is 20716029559. The reversal of 20716029558 is 85592061702.

20716029558 is a `hidden beast` number, since 2 + 0 + 71 + 6 + 0 + 29 + 558 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20716029559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147210 + ... + 251202.

It is an arithmetic number, because the mean of its divisors is an integer number (449254080).

Almost surely, 220716029558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20716029558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28752261120).

20716029558 is an abundant number, since it is smaller than the sum of its proper divisors (36788492682).

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

20716029558 is a wasteful number, since it uses less digits than its factorization.

20716029558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104059 (or 104053 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 20716029558 in words is "twenty billion, seven hundred sixteen million, twenty-nine thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 31 34 42 51 54 62 63 93 102 119 126 153 186 189 217 238 279 306 357 378 434 459 527 558 651 714 837 918 1054 1071 1302 1581 1674 1953 2142 3162 3213 3689 3906 4743 5859 6426 7378 9486 11067 11718 14229 22134 28458 33201 66402 99603 103993 199206 207986 311979 623958 727951 935937 1455902 1767881 1871874 2183853 2807811 3223783 3535762 4367706 5303643 5615622 6447566 6551559 9671349 10607286 12375167 13103118 15910929 19342698 19654677 22566481 24750334 29014047 31821858 37125501 39309354 45132962 47732787 54804311 58028094 67699443 74251002 87042141 95465574 109608622 111376503 135398886 164412933 174084282 203098329 222753006 328825866 334129509 383630177 406196658 493238799 609294987 668259018 767260354 986477598 1150890531 1218589974 1479716397 2301781062 2959432794 3452671593 6905343186 10358014779 20716029558