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9769748940 = 2232578987121
BaseRepresentation
bin10010001100101001…
…01000100111001100
3221012212111200001100
421012110220213030
5130002023431230
64253235343100
7464050332030
oct110624504714
927185450040
109769748940
11416384aa86
121a87a51a90
13bc90a0b43
146897481c0
153c2a7a660
hex2465289cc

9769748940 has 144 divisors (see below), whose sum is σ = 34249400640. Its totient is φ = 2207969280.

The previous prime is 9769748927. The next prime is 9769748941. The reversal of 9769748940 is 498479679.

9769748940 is a `hidden beast` number, since 97 + 69 + 7 + 489 + 4 + 0 = 666.

It is a super-2 number, since 2×97697489402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9769748941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68580 + ... + 155700.

It is an arithmetic number, because the mean of its divisors is an integer number (237843060).

Almost surely, 29769748940 is an apocalyptic number.

9769748940 is a gapful number since it is divisible by the number (90) 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 9769748940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124700320).

9769748940 is an abundant number, since it is smaller than the sum of its proper divisors (24479651700).

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

9769748940 is a wasteful number, since it uses less digits than its factorization.

9769748940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87232 (or 87227 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 9769748940 is about 98842.0403472126. The cubic root of 9769748940 is about 2137.7707694331.

The spelling of 9769748940 in words is "nine billion, seven hundred sixty-nine million, seven hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 801 890 1068 1246 1260 1335 1602 1780 1869 2492 2670 3115 3204 3738 4005 5340 5607 6230 7476 8010 9345 11214 12460 16020 18690 22428 28035 37380 56070 87121 112140 174242 261363 348484 435605 522726 609847 784089 871210 1045452 1219694 1306815 1568178 1742420 1829541 2439388 2613630 3049235 3136356 3659082 3920445 5227260 5488623 6098470 7318164 7753769 7840890 9147705 10977246 12196940 15507538 15681780 18295410 21954492 23261307 27443115 31015076 36590820 38768845 46522614 54276383 54886230 69783921 77537690 93045228 108552766 109772460 116306535 139567842 155075380 162829149 217105532 232613070 271381915 279135684 325658298 348919605 465226140 488487447 542763830 651316596 697839210 814145745 976974894 1085527660 1395678420 1628291490 1953949788 2442437235 3256582980 4884874470 9769748940