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10074814749 = 35417431361
BaseRepresentation
bin10010110001000000…
…10111100100011101
3222000010112121200000
421120200113210131
5131113123032444
64343414124513
7504443340516
oct113040274435
928003477600
1010074814749
1142aaa7448a
121b52050739
13c4735365c
146b8079a0d
153de73a469
hex25881791d

10074814749 has 48 divisors (see below), whose sum is σ = 15491758464. Its totient is φ = 6539097600.

The previous prime is 10074814747. The next prime is 10074814777. The reversal of 10074814749 is 94741847001.

It is a happy number.

10074814749 is a `hidden beast` number, since 100 + 74 + 8 + 1 + 474 + 9 = 666.

It is not a de Polignac number, because 10074814749 - 21 = 10074814747 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10074814747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7401829 + ... + 7403189.

It is an arithmetic number, because the mean of its divisors is an integer number (322744968).

Almost surely, 210074814749 is an apocalyptic number.

It is an amenable number.

10074814749 is a deficient number, since it is larger than the sum of its proper divisors (5416943715).

10074814749 is an equidigital number, since it uses as much as digits as its factorization.

10074814749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10074814749 in words is "ten billion, seventy-four million, eight hundred fourteen thousand, seven hundred forty-nine".

Divisors: 1 3 9 27 41 81 123 243 369 743 1107 1361 2229 3321 4083 6687 9963 12249 20061 30463 36747 55801 60183 91389 110241 167403 180549 274167 330723 502209 822501 1011223 1506627 2467503 3033669 4519881 7402509 9101007 13559643 27303021 41460143 81909063 124380429 245727189 373141287 1119423861 3358271583 10074814749