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10200942892 = 227261271197
BaseRepresentation
bin10011000000000011…
…00000100100101100
3222022220212120221201
421200001200210230
5131342420133032
64404121335244
7510534404200
oct114001404454
928286776851
1010200942892
114365191418
121b88337524
13c675149aa
146cab0cb00
153ea8518e7
hex26006092c

10200942892 has 108 divisors (see below), whose sum is σ = 21518248752. Its totient is φ = 4218076800.

The previous prime is 10200942881. The next prime is 10200942901. The reversal of 10200942892 is 29824900201.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51781338 + ... + 51781534.

It is an arithmetic number, because the mean of its divisors is an integer number (199243044).

Almost surely, 210200942892 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 10200942892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759124376).

10200942892 is an abundant number, since it is smaller than the sum of its proper divisors (11317305860).

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

10200942892 is a wasteful number, since it uses less digits than its factorization.

10200942892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 10200942892 in words is "ten billion, two hundred million, nine hundred forty-two thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 14 28 49 61 71 98 122 142 196 197 244 284 394 427 497 788 854 994 1379 1708 1988 2758 2989 3479 3721 4331 5516 5978 6958 7442 8662 9653 11956 12017 13916 13987 14884 17324 19306 24034 26047 27974 30317 38612 48068 52094 55948 60634 84119 97909 104188 121268 168238 182329 195818 212219 264191 336476 364658 391636 424438 528382 588833 685363 729316 733037 848876 853207 1056764 1177666 1370726 1466074 1706414 1849337 2355332 2741452 2932148 3412828 3698674 5131259 5972449 7397348 10262518 11944898 12945359 20525036 23889796 25890718 35918813 41807143 51781436 52045627 71837626 83614286 104091254 143675252 167228572 208182508 364319389 728638778 1457277556 2550235723 5100471446 10200942892