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10019377024 = 27234379147
BaseRepresentation
bin10010101010011001…
…11000111110000000
3221212021020002101221
421111030320332000
5131004430031044
64334114004424
7503201204506
oct112514707600
927767202357
1010019377024
11428174a288
121b37576714
13c38a13177
146b0968676
153d9939484
hex255338f80

10019377024 has 64 divisors (see below), whose sum is σ = 21312973440. Its totient is φ = 4680377856.

The previous prime is 10019377021. The next prime is 10019377051. The reversal of 10019377024 is 42077391001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10019377021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87019 + ... + 166165.

It is an arithmetic number, because the mean of its divisors is an integer number (333015210).

Almost surely, 210019377024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10019377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10656486720).

10019377024 is an abundant number, since it is smaller than the sum of its proper divisors (11293596416).

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

10019377024 is an equidigital number, since it uses as much as digits as its factorization.

10019377024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79227 (or 79215 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 10019377024 in words is "ten billion, nineteen million, three hundred seventy-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 128 172 184 344 368 688 736 989 1376 1472 1978 2752 2944 3956 5504 7912 15824 31648 63296 79147 126592 158294 316588 633176 1266352 1820381 2532704 3403321 3640762 5065408 6806642 7281524 10130816 13613284 14563048 27226568 29126096 54453136 58252192 78276383 108906272 116504384 156552766 217812544 233008768 313105532 435625088 626211064 1252422128 2504844256 5009688512 10019377024