Search a number
-
+
9760400105808 = 2431163129295731
BaseRepresentation
bin1000111000001000010100…
…1011100110000101010000
31021120002022001202111211010
42032002011023212011100
52234403244411341213
632431511011450520
72025110546011602
oct216020513460520
937502261674733
109760400105808
1131233a9452240
12111776a2b6a40
1355a52b9345c1
1425a597a71172
1511dd551bbac3
hex8e0852e6150

9760400105808 has 80 divisors (see below), whose sum is σ = 27550175104512. Its totient is φ = 2953009584000.

The previous prime is 9760400105777. The next prime is 9760400105809. The reversal of 9760400105808 is 8085010040679.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9760400105809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14314698 + ... + 14981033.

Almost surely, 29760400105808 is an apocalyptic number.

It is an amenable number.

9760400105808 is an abundant number, since it is smaller than the sum of its proper divisors (17789774998704).

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

9760400105808 is a wasteful number, since it uses less digits than its factorization.

9760400105808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29296384 (or 29296378 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 9760400105808 in words is "nine trillion, seven hundred sixty billion, four hundred million, one hundred five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 631 1262 1893 2524 3786 5048 6941 7572 10096 13882 15144 20823 27764 30288 41646 55528 83292 111056 166584 333168 29295731 58591462 87887193 117182924 175774386 234365848 322253041 351548772 468731696 644506082 703097544 966759123 1289012164 1406195088 1933518246 2578024328 3867036492 5156048656 7734072984 15468145968 18485606261 36971212522 55456818783 73942425044 110913637566 147884850088 203341668871 221827275132 295769700176 406683337742 443654550264 610025006613 813366675484 887309100528 1220050013226 1626733350968 2440100026452 3253466701936 4880200052904 9760400105808