Search a number
-
+
10396026369792 = 28337214864963
BaseRepresentation
bin1001011101001000001101…
…1101010111011100000000
31100210211221221201021221000
42113102003131113130000
52330312030222313132
634035511340332000
72122042140060510
oct227220335273400
940724857637830
1010396026369792
113348a25953208
1211ba9a0244000
135a545847898b
1427d255683840
15130657a7487c
hex97483757700

10396026369792 has 144 divisors (see below), whose sum is σ = 35134718913280. Its totient is φ = 2970293234688.

The previous prime is 10396026369733. The next prime is 10396026369821. The reversal of 10396026369792 is 29796362069301.

10396026369792 is a `hidden beast` number, since 10 + 3 + 9 + 602 + 6 + 3 + 6 + 9 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107384098 + ... + 107480865.

Almost surely, 210396026369792 is an apocalyptic number.

10396026369792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10396026369792 is an abundant number, since it is smaller than the sum of its proper divisors (24738692543488).

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

10396026369792 is an equidigital number, since it uses as much as digits as its factorization.

10396026369792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214864995 (or 214864975 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 10396026369792 in words is "ten trillion, three hundred ninety-six billion, twenty-six million, three hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 214864963 429729926 644594889 859459852 1289189778 1504054741 1718919704 1933784667 2578379556 3008109482 3437839408 3867569334 4512164223 5156759112 5801354001 6016218964 6875678816 7735138668 9024328446 10313518224 11602708002 12032437928 13536492669 13751357632 15470277336 18048656892 20627036448 23205416004 24064875856 27072985338 27502715264 30940554672 36097313784 40609478007 41254072896 46410832008 48129751712 54145970676 55005430528 61881109344 72194627568 81218956014 82508145792 92821664016 96259503424 108291941352 123762218688 144389255136 162437912028 165016291584 185643328032 192519006848 216583882704 247524437376 288778510272 324875824056 371286656064 385038013696 433167765408 495048874752 577557020544 649751648112 742573312128 866335530816 1155114041088 1299503296224 1485146624256 1732671061632 2599006592448 3465342123264 5198013184896 10396026369792