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10674300544 = 271721012857
BaseRepresentation
bin10011111000011110…
…01110011010000000
31000112220120122120121
421330033032122000
5133330110104134
64523111150024
7525343025515
oct117417163200
930486518517
1010674300544
114588400a96
12209a975314
1310115cc18b
1473392b30c
154271a5ab4
hex27c3ce680

10674300544 has 96 divisors (see below), whose sum is σ = 22821330060. Its totient is φ = 4971724800.

The previous prime is 10674300523. The next prime is 10674300547. The reversal of 10674300544 is 44500347601.

It can be written as a sum of positive squares in 6 ways, for example, as 10549754944 + 124545600 = 102712^2 + 11160^2 .

It is a super-2 number, since 2×106743005442 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (10674300547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3734764 + ... + 3737620.

Almost surely, 210674300544 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 10674300544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11410665030).

10674300544 is an abundant number, since it is smaller than the sum of its proper divisors (12147029516).

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

10674300544 is a wasteful number, since it uses less digits than its factorization.

10674300544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 10674300544 in words is "ten billion, six hundred seventy-four million, three hundred thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 128 136 202 272 289 404 544 578 808 1088 1156 1616 1717 2176 2312 2857 3232 3434 4624 5714 6464 6868 9248 11428 12928 13736 18496 22856 27472 29189 36992 45712 48569 54944 58378 91424 97138 109888 116756 182848 194276 219776 233512 288557 365696 388552 467024 577114 777104 825673 934048 1154228 1554208 1651346 1868096 2308456 3108416 3302692 3736192 4616912 4905469 6216832 6605384 9233824 9810938 13210768 18467648 19621876 26421536 36935296 39243752 52843072 78487504 83392973 105686144 156975008 166785946 313950016 333571892 627900032 667143784 1334287568 2668575136 5337150272 10674300544