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10742011420 = 2257682711239
BaseRepresentation
bin10100000000100011…
…00001011000011100
31000201121222201102211
422000101201120130
5133444423331140
64533530330204
7530124406360
oct120021413034
930647881384
1010742011420
114612649198
1220b9589964
131022648a9a
1473c9152a0
1542d0cd2ea
hex28046161c

10742011420 has 48 divisors (see below), whose sum is σ = 25786897920. Its totient is φ = 3682108224.

The previous prime is 10742011411. The next prime is 10742011447. The reversal of 10742011420 is 2411024701.

It is a junction number, because it is equal to n+sod(n) for n = 10742011391 and 10742011400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950161 + ... + 961399.

It is an arithmetic number, because the mean of its divisors is an integer number (537227040).

Almost surely, 210742011420 is an apocalyptic number.

10742011420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10742011420 is an abundant number, since it is smaller than the sum of its proper divisors (15044886500).

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

10742011420 is a wasteful number, since it uses less digits than its factorization.

10742011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18082 (or 18080 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The spelling of 10742011420 in words is "ten billion, seven hundred forty-two million, eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 6827 11239 13654 22478 27308 34135 44956 47789 56195 68270 78673 95578 112390 136540 157346 191156 224780 238945 314692 393365 477890 786730 955780 1573460 76728653 153457306 306914612 383643265 537100571 767286530 1074201142 1534573060 2148402284 2685502855 5371005710 10742011420