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10065534990 = 2357409117191
BaseRepresentation
bin10010101111111001…
…11110000000001110
3221222111002011020020
421113330332000032
5131103234104430
64342443203010
7504301431030
oct112774760016
927874064206
1010065534990
1142a5806465
121b4ab16466
13c45454884
146b6b41c50
153dda05b10
hex257f3e00e

10065534990 has 64 divisors (see below), whose sum is σ = 27676062720. Its totient is φ = 2295048960.

The previous prime is 10065534979. The next prime is 10065535001. The reversal of 10065534990 is 9943556001.

It is an interprime number because it is at equal distance from previous prime (10065534979) and next prime (10065535001).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27295 + ... + 144485.

It is an arithmetic number, because the mean of its divisors is an integer number (432438480).

Almost surely, 210065534990 is an apocalyptic number.

10065534990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10065534990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838031360).

10065534990 is an abundant number, since it is smaller than the sum of its proper divisors (17610527730).

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

10065534990 is a wasteful number, since it uses less digits than its factorization.

10065534990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117617.

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 10065534990 in words is "ten billion, sixty-five million, five hundred thirty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 409 818 1227 2045 2454 2863 4090 5726 6135 8589 12270 14315 17178 28630 42945 85890 117191 234382 351573 585955 703146 820337 1171910 1640674 1757865 2461011 3515730 4101685 4922022 8203370 12305055 24610110 47931119 95862238 143793357 239655595 287586714 335517833 479311190 671035666 718966785 1006553499 1437933570 1677589165 2013106998 3355178330 5032767495 10065534990