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10276074990 = 2335314872521
BaseRepresentation
bin10011001001000000…
…00111010111101110
3222112011020200211000
421210200013113232
5132021133344430
64415403541130
7512436124206
oct114440072756
928464220730
1010276074990
1143a3638265
121ba952a7a6
13c79c5c45c
146d6aa9406
15402242e60
hex2648075ee

10276074990 has 128 divisors (see below), whose sum is σ = 28356157440. Its totient is φ = 2645395200.

The previous prime is 10276074979. The next prime is 10276074997. The reversal of 10276074990 is 9947067201.

10276074990 is a `hidden beast` number, since 10 + 27 + 607 + 4 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10276074997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4074930 + ... + 4077450.

It is an arithmetic number, because the mean of its divisors is an integer number (221532480).

Almost surely, 210276074990 is an apocalyptic number.

10276074990 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 10276074990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178078720).

10276074990 is an abundant number, since it is smaller than the sum of its proper divisors (18080082450).

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

10276074990 is a wasteful number, since it uses less digits than its factorization.

10276074990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 10276074990 in words is "ten billion, two hundred seventy-six million, seventy-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 487 558 837 930 974 1395 1461 1674 2435 2521 2790 2922 4185 4383 4870 5042 7305 7563 8370 8766 12605 13149 14610 15097 15126 21915 22689 25210 26298 30194 37815 43830 45291 45378 65745 68067 75485 75630 78151 90582 113445 131490 135873 136134 150970 156302 226455 226890 234453 271746 340335 390755 407619 452910 468906 679365 680670 703359 781510 815238 1172265 1227727 1358730 1406718 2038095 2110077 2344530 2455454 3516795 3683181 4076190 4220154 6138635 7033590 7366362 10550385 11049543 12277270 18415905 21100770 22099086 33148629 36831810 38059537 55247715 66297258 76119074 110495430 114178611 165743145 190297685 228357222 331486290 342535833 380595370 570893055 685071666 1027607499 1141786110 1712679165 2055214998 3425358330 5138037495 10276074990