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103239499347856 = 2431267212232
BaseRepresentation
bin10111011110010101010001…
…101011110111011110010000
3111112112121012012212021002201
4113132111101223313132100
5102012433443313112411
61003323323220252544
730513544015233034
oct2736252153673620
9445477165767081
10103239499347856
112a993697a2a793
12b6b460b541154
13457b59b3c46a1
141b6cb65ab21c4
15be076a0283c1
hex5de551af7790

103239499347856 has 135 divisors (see below), whose sum is σ = 209989769034843. Its totient is φ = 49168769158080.

The previous prime is 103239499347781. The next prime is 103239499347877. The reversal of 103239499347856 is 658743994932301.

The square root of 103239499347856 is 10160684.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84414962061 + ... + 84414963283.

It is a 1-persistent number, because it is pandigital, but 2⋅103239499347856 = 206478998695712 is not.

Almost surely, 2103239499347856 is an apocalyptic number.

103239499347856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103239499347856 is the 10160684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103239499347856

103239499347856 is an abundant number, since it is smaller than the sum of its proper divisors (106750269686987).

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

103239499347856 is an frugal number, since it uses more digits than its factorization.

103239499347856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 73.

The spelling of 103239499347856 in words is "one hundred three trillion, two hundred thirty-nine billion, four hundred ninety-nine million, three hundred forty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 67 124 134 248 268 496 536 961 1072 1223 1922 2077 2446 3844 4154 4489 4892 7688 8308 8978 9784 15376 16616 17956 19568 33232 35912 37913 64387 71824 75826 81941 128774 139159 151652 163882 257548 278318 303304 327764 515096 556636 606608 655528 1030192 1113272 1175303 1311056 1495729 2226544 2350606 2540171 2991458 4313929 4701212 5080342 5490047 5982916 8627858 9402424 10160684 10980094 11965832 17255716 18804848 20321368 21960188 23931664 34511432 40642736 43920376 46367599 69022864 78745301 87840752 92735198 100213843 157490602 170191457 185470396 200427686 314981204 340382914 370940792 400855372 629962408 680765828 741881584 801710744 1259924816 1361531656 1437395569 1603421488 2723063312 2874791138 3106629133 5275935167 5749582276 6213258266 6714327481 10551870334 11499164552 12426516532 13428654962 21103740668 22998329104 24853033064 26857309924 42207481336 49706066128 53714619848 84414962672 96305503123 107429239696 192611006246 208144151911 385222012492 416288303822 770444024984 832576607644 1540888049968 1665153215288 3330306430576 6452468709241 12904937418482 25809874836964 51619749673928 103239499347856