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10442016616460 = 22511133651054761
BaseRepresentation
bin1001011111110011100010…
…1100001111000000001100
31100222020200002110220001012
42113330320230033000030
52332040222223211320
634112555103104352
72125260622525352
oct227747054170014
940866602426035
1010442016616460
113366486180230
1212078962a20b8
135a98a75907a0
142815796417d2
1513194a3b94c5
hex97f38b0f00c

10442016616460 has 48 divisors (see below), whose sum is σ = 25761842400672. Its totient is φ = 3505012569600.

The previous prime is 10442016616397. The next prime is 10442016616463. The reversal of 10442016616460 is 6461661024401.

It is a super-2 number, since 2×104420166164602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10442016616463) 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, 1825524521 + ... + 1825530240.

It is an arithmetic number, because the mean of its divisors is an integer number (536705050014).

Almost surely, 210442016616460 is an apocalyptic number.

10442016616460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442016616460 is an abundant number, since it is smaller than the sum of its proper divisors (15319825784212).

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

10442016616460 is a wasteful number, since it uses less digits than its factorization.

10442016616460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651054794 (or 3651054792 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 10442016616460 in words is "ten trillion, four hundred forty-two billion, sixteen million, six hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 3651054761 7302109522 14604219044 18255273805 36510547610 40161602371 47463711893 73021095220 80323204742 94927423786 160646409484 189854847572 200808011855 237318559465 401616023710 474637118930 522100830823 803232047420 949274237860 1044201661646 2088403323292 2610504154115 5221008308230 10442016616460