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89790942696012 = 2232317310310700603
BaseRepresentation
bin10100011010101000010101…
…001111100101001001001100
3102202220221010011212212122200
4110122220111033211021030
543232113322312233022
6514545220054041500
724625116156641565
oct2432502517451114
9382827104785580
1089790942696012
1126679141341468
12a0a2105049290
133b143323a64ac
141825c94b5116c
15a5aa061abbac
hex51aa153e524c

89790942696012 has 144 divisors (see below), whose sum is σ = 239808582494208. Its totient is φ = 28290679591680.

The previous prime is 89790942695983. The next prime is 89790942696029. The reversal of 89790942696012 is 21069624909798.

89790942696012 is a `hidden beast` number, since 8 + 9 + 7 + 9 + 0 + 9 + 4 + 2 + 6 + 9 + 601 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3040903 + ... + 13741505.

It is an arithmetic number, because the mean of its divisors is an integer number (1665337378432).

Almost surely, 289790942696012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89790942696012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119904291247104).

89790942696012 is an abundant number, since it is smaller than the sum of its proper divisors (150017639798196).

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

89790942696012 is a wasteful number, since it uses less digits than its factorization.

89790942696012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700820 (or 10700815 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 89790942696012 in words is "eighty-nine trillion, seven hundred ninety billion, nine hundred forty-two million, six hundred ninety-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 103 124 146 186 206 219 279 292 309 372 412 438 558 618 657 876 927 1116 1236 1314 1854 2263 2628 3193 3708 4526 6386 6789 7519 9052 9579 12772 13578 15038 19158 20367 22557 27156 28737 30076 38316 40734 45114 57474 67671 81468 90228 114948 135342 233089 270684 466178 699267 932356 1398534 2097801 2797068 4195602 8391204 10700603 21401206 32101809 42802412 64203618 96305427 128407236 192610854 331718693 385221708 663437386 781144019 995156079 1102162109 1326874772 1562288038 1990312158 2204324218 2343432057 2985468237 3124576076 3306486327 3980624316 4408648436 4686864114 5970936474 6612972654 7030296171 9373728228 9919458981 11941872948 13225945308 14060592342 19838917962 24215464589 28121184684 34167025379 39677835924 48430929178 68334050758 72646393767 80457833957 96861858356 102501076137 136668101516 145292787534 160915667914 205002152274 217939181301 241373501871 290585575068 307503228411 321831335828 410004304548 435878362602 482747003742 615006456822 724120505613 871756725204 965494007484 1230012913644 1448241011226 2494192852667 2896482022452 4988385705334 7482578558001 9976771410668 14965157116002 22447735674003 29930314232004 44895471348006 89790942696012