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10396432922500 = 225459210932
BaseRepresentation
bin1001011101001001101110…
…1100001111011110000100
31100210220000021201022101201
42113102123230033132010
52330313343312010000
634040015542232244
72122055204523412
oct227223354173604
940726007638351
1010396432922500
113349114394289
1211baa94425684
135a54c1772a01
1427d2936722b2
1513067d5ce96a
hex9749bb0f784

10396432922500 has 135 divisors (see below), whose sum is σ = 23147966639721. Its totient is φ = 4084348632000.

The previous prime is 10396432922483. The next prime is 10396432922569. The reversal of 10396432922500 is 522923469301.

The square root of 10396432922500 is 3224350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1612986361156 + 8783446561344 = 1270034^2 + 2963688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9511831954 + ... + 9511833046.

Almost surely, 210396432922500 is an apocalyptic number.

10396432922500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10396432922500 is the 3224350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10396432922500

10396432922500 is an abundant number, since it is smaller than the sum of its proper divisors (12751533717221).

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

10396432922500 is an frugal number, since it uses more digits than its factorization.

10396432922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 10396432922500 in words is "ten trillion, three hundred ninety-six billion, four hundred thirty-two million, nine hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 125 236 250 295 500 590 625 1093 1180 1250 1475 2186 2500 2950 3481 4372 5465 5900 6962 7375 10930 13924 14750 17405 21860 27325 29500 34810 36875 54650 64487 69620 73750 87025 109300 128974 136625 147500 174050 257948 273250 322435 348100 435125 546500 644870 683125 870250 1194649 1289740 1366250 1612175 1740500 2175625 2389298 2732500 3224350 3804733 4351250 4778596 5973245 6448700 7609466 8060875 8702500 11946490 15218932 16121750 19023665 23892980 29866225 32243500 38047330 40304375 59732450 70484291 76094660 80608750 95118325 119464900 140968582 149331125 161217500 190236650 281937164 298662250 352421455 380473300 475591625 597324500 704842910 746655625 951183250 1409685820 1493311250 1762107275 1902366500 2377958125 2986622500 3524214550 4158573169 4755916250 7048429100 8317146338 8810536375 9511832500 16634292676 17621072750 20792865845 35242145500 41585731690 44052681875 83171463380 88105363750 103964329225 176210727500 207928658450 415857316900 519821646125 1039643292250 2079286584500 2599108230625 5198216461250 10396432922500