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208630919796 = 2231323712721893
BaseRepresentation
bin1100001001001101011…
…1110011001001110100
3201221111211212211122120
43002103113303021310
511404234003413141
6235502124355540
721034032362325
oct3022327631164
9657454784576
10208630919796
1180530795a72
12345260a5bb0
131689b495700
14a1524a044c
155661048c66
hex30935f3274

208630919796 has 144 divisors (see below), whose sum is σ = 545667139584. Its totient is φ = 61964517888.

The previous prime is 208630919767. The next prime is 208630919803. The reversal of 208630919796 is 697919036802.

208630919796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9518626 + ... + 9540518.

It is an arithmetic number, because the mean of its divisors is an integer number (3789355136).

Almost surely, 2208630919796 is an apocalyptic number.

208630919796 is a gapful number since it is divisible by the number (26) 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 208630919796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272833569792).

208630919796 is an abundant number, since it is smaller than the sum of its proper divisors (337036219788).

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

208630919796 is a wasteful number, since it uses less digits than its factorization.

208630919796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22090 (or 22075 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 208630919796 in words is "two hundred eight billion, six hundred thirty million, nine hundred nineteen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 127 148 156 169 222 254 338 381 444 481 507 508 676 762 962 1014 1443 1524 1651 1924 2028 2886 3302 4699 4953 5772 6253 6604 9398 9906 12506 14097 18759 18796 19812 21463 21893 25012 28194 37518 42926 43786 56388 61087 64389 65679 75036 85852 87572 122174 128778 131358 183261 244348 257556 262716 284609 366522 569218 733044 794131 810041 853827 1138436 1588262 1620082 1707654 2382393 2430123 2780411 3176524 3240164 3415308 3699917 4764786 4860246 5560822 7399834 8341233 9529572 9720492 10530533 11099751 11121644 14799668 16682466 21061066 22199502 31591599 33364932 36145343 42122132 44399004 63183198 72290686 102875207 108436029 126366396 136896929 144581372 205750414 216872058 273793858 308625621 410690787 411500828 433744116 469889459 547587716 617251242 821381574 939778918 1234502484 1337377691 1409668377 1642763148 1879557836 2674755382 2819336754 4012133073 5349510764 5638673508 8024266146 16048532292 17385909983 34771819966 52157729949 69543639932 104315459898 208630919796