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10007287370076 = 22322733710901327
BaseRepresentation
bin1001000110100000000011…
…0011110001000101011100
31022102200120001201000020210
42101220000303301011130
52302424411031320301
633141141230412420
72052000624101223
oct221500063610534
938380501630223
1010007287370076
113209080916017
121157590361110
135778b5b59619
142684d8cd1cba
151254a4ac3ad6
hex91a00cf115c

10007287370076 has 48 divisors (see below), whose sum is σ = 23522798347776. Its totient is φ = 3311212364544.

The previous prime is 10007287370039. The next prime is 10007287370077. The reversal of 10007287370076 is 67007378270001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007287370077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4532676 + ... + 6368651.

It is an arithmetic number, because the mean of its divisors is an integer number (490058298912).

Almost surely, 210007287370076 is an apocalyptic number.

It is an amenable number.

10007287370076 is an abundant number, since it is smaller than the sum of its proper divisors (13515510977700).

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

10007287370076 is a wasteful number, since it uses less digits than its factorization.

10007287370076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901898 (or 10901896 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The spelling of 10007287370076 in words is "ten trillion, seven billion, two hundred eighty-seven million, three hundred seventy thousand, seventy-six".

Divisors: 1 2 3 4 6 12 227 337 454 674 681 908 1011 1348 1362 2022 2724 4044 76499 152998 229497 305996 458994 917988 10901327 21802654 32703981 43605308 65407962 130815924 2474601229 3673747199 4949202458 7347494398 7423803687 9898404916 11021241597 14694988796 14847607374 22042483194 29695214748 44084966388 833940614173 1667881228346 2501821842519 3335762456692 5003643685038 10007287370076