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10019763418428 = 22323169911284263
BaseRepresentation
bin1001000111001110100001…
…1100000111010100111100
31022110212202112120221011200
42101303220130013110330
52303130433413342203
633151003223415500
72052622035544101
oct221635034072474
938425675527150
1010019763418428
1132133a3264885
121159a925b4590
13578b2380b25a
14268d5dc2caa8
1512598502a9a3
hex91ce870753c

10019763418428 has 72 divisors (see below), whose sum is σ = 26148519161856. Its totient is φ = 3231716896800.

The previous prime is 10019763418421. The next prime is 10019763418493. The reversal of 10019763418428 is 82481436791001.

10019763418428 is a `hidden beast` number, since 10 + 0 + 197 + 6 + 3 + 4 + 18 + 428 = 666.

It is a super-2 number, since 2×100197634184282 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10019763418421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7159825 + ... + 8444087.

It is an arithmetic number, because the mean of its divisors is an integer number (363173877248).

Almost surely, 210019763418428 is an apocalyptic number.

10019763418428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10019763418428 is an abundant number, since it is smaller than the sum of its proper divisors (16128755743428).

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

10019763418428 is a wasteful number, since it uses less digits than its factorization.

10019763418428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291295 (or 1291290 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10019763418428 in words is "ten trillion, nineteen billion, seven hundred sixty-three million, four hundred eighteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 6991 13982 20973 27964 41946 62919 83892 125838 216721 251676 433442 650163 866884 1284263 1300326 1950489 2568526 2600652 3852789 3900978 5137052 7705578 7801956 11558367 15411156 23116734 39812153 46233468 79624306 119436459 159248612 238872918 358309377 477745836 716618754 1433237508 8978282633 17956565266 26934847899 35913130532 53869695798 80804543697 107739391596 161609087394 278326761623 323218174788 556653523246 834980284869 1113307046492 1669960569738 2504940854607 3339921139476 5009881709214 10019763418428