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16716426100 = 225211193721617
BaseRepresentation
bin11111001000110000…
…00110101101110100
31121010222220102122121
433210120012231310
5233213401113400
611402431005324
71131151164103
oct174430065564
947128812577
1016716426100
1170a8a94390
1232a6369844
1317653270ba
14b4818403a
1567c86021a
hex3e4606b74

16716426100 has 144 divisors (see below), whose sum is σ = 42782886720. Its totient is φ = 5602867200.

The previous prime is 16716426079. The next prime is 16716426131. The reversal of 16716426100 is 162461761.

16716426100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×167164261002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 762492 + ... + 784108.

It is an arithmetic number, because the mean of its divisors is an integer number (297103380).

Almost surely, 216716426100 is an apocalyptic number.

16716426100 is a gapful number since it is divisible by the number (10) 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 16716426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391443360).

16716426100 is an abundant number, since it is smaller than the sum of its proper divisors (26066460620).

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

16716426100 is a wasteful number, since it uses less digits than its factorization.

16716426100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21698 (or 21691 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 16716426100 its reverse (162461761), we get a palindrome (16878887861).

The spelling of 16716426100 in words is "sixteen billion, seven hundred sixteen million, four hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 37 38 44 50 55 74 76 95 100 110 148 185 190 209 220 275 370 380 407 418 475 550 703 740 814 836 925 950 1045 1100 1406 1628 1850 1900 2035 2090 2812 3515 3700 4070 4180 5225 7030 7733 8140 10175 10450 14060 15466 17575 20350 20900 21617 30932 35150 38665 40700 43234 70300 77330 86468 108085 154660 193325 216170 237787 386650 410723 432340 475574 540425 773300 799829 821446 951148 1080850 1188935 1599658 1642892 2053615 2161700 2377870 3199316 3999145 4107230 4517953 4755740 5944675 7998290 8214460 8798119 9035906 10268075 11889350 15196751 15996580 17596238 18071812 19995725 20536150 22589765 23778700 30393502 35192476 39991450 41072300 43990595 45179530 60787004 75983755 79982900 87981190 90359060 112948825 151967510 167164261 175962380 219952975 225897650 303935020 334328522 379918775 439905950 451795300 668657044 759837550 835821305 879811900 1519675100 1671642610 3343285220 4179106525 8358213050 16716426100