Search a number
-
+
770990217424 = 24719499797911
BaseRepresentation
bin10110011100000101001…
…10010001100011010000
32201201001122010002112221
423032002212101203100
5100112441443424144
61350104340030424
7106462566501310
oct13160246214320
92651048102487
10770990217424
11277a7a972779
1210550b092414
135791caa7b5b
142945d63d440
15150c65b5d84
hexb3829918d0

770990217424 has 160 divisors (see below), whose sum is σ = 1804884480000. Its totient is φ = 311671825920.

The previous prime is 770990217383. The next prime is 770990217433. The reversal of 770990217424 is 424712099077.

It is a super-3 number, since 3×7709902174243 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846311529 + ... + 846312439.

It is an arithmetic number, because the mean of its divisors is an integer number (11280528000).

Almost surely, 2770990217424 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 770990217424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902442240000).

770990217424 is an abundant number, since it is smaller than the sum of its proper divisors (1033894262576).

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

770990217424 is a wasteful number, since it uses less digits than its factorization.

770990217424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 770990217424 in words is "seven hundred seventy billion, nine hundred ninety million, two hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 499 532 797 911 998 1064 1594 1822 1996 2128 3188 3493 3644 3992 5579 6376 6377 6986 7288 7984 9481 11158 12752 12754 13972 14576 15143 17309 18962 22316 25508 27944 30286 34618 37924 44632 51016 55888 60572 66367 69236 75848 89264 102032 106001 121144 121163 132734 138472 151696 212002 242288 242326 265468 276944 397703 424004 454589 484652 530936 726067 795406 848008 909178 969304 1061872 1452134 1590812 1696016 1818356 1938608 2783921 2904268 3181624 3182123 3636712 5082469 5567842 5808536 6363248 6364246 7273424 7556357 8637191 10164938 11135684 11617072 12728492 13795273 15112714 17274382 20329876 22271368 25456984 27590546 30225428 34548764 40659752 44542736 50913968 52894499 55181092 60450856 60460337 69097528 81319504 96566911 105788998 110362184 120901712 120920674 138195056 193133822 211577996 220724368 241841348 362307433 386267644 423155992 483682696 724614866 772535288 846311984 967365392 1449229732 1545070576 2536152031 2898459464 5072304062 5796918928 6883841227 10144608124 13767682454 20289216248 27535364908 40578432496 48186888589 55070729816 96373777178 110141459632 192747554356 385495108712 770990217424