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40010735537652 = 223111034603639329
BaseRepresentation
bin10010001100011101110011…
…01011011100110111110100
312020122222200221201211102010
421012032321223130313310
520221013441244201102
6221032402252044220
711266452216441225
oct1106167153346764
9166588627654363
1040010735537652
1111826504151440
1245a2422463670
131942cc47879c9
149c475c1c724c
15495b8746bd6c
hex2463b9adcdf4

40010735537652 has 96 divisors (see below), whose sum is σ = 102856801582080. Its totient is φ = 12004124820480.

The previous prime is 40010735537603. The next prime is 40010735537653. The reversal of 40010735537652 is 25673553701004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40010735537653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62262724 + ... + 62902052.

It is an arithmetic number, because the mean of its divisors is an integer number (1071425016480).

Almost surely, 240010735537652 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 40010735537652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51428400791040).

40010735537652 is an abundant number, since it is smaller than the sum of its proper divisors (62846066044428).

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

40010735537652 is a wasteful number, since it uses less digits than its factorization.

40010735537652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644053 (or 644051 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 48.

The spelling of 40010735537652 in words is "forty trillion, ten billion, seven hundred thirty-five million, five hundred thirty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 4532 4603 6798 9206 13596 13809 18412 27618 50633 55236 101266 151899 202532 303798 474109 607596 639329 948218 1278658 1422327 1896436 1917987 2557316 2844654 3835974 5215199 5689308 7032619 7671948 10430398 14065238 15645597 20860796 21097857 28130476 31291194 42195714 62582388 65850887 84391428 131701774 197552661 263403548 395105322 724359757 790210644 1448719514 2173079271 2897439028 2942831387 4346158542 5885662774 8692317084 8828494161 11771325548 17656988322 32371145257 35313976644 64742290514 97113435771 129484581028 194226871542 303111632861 388453743084 606223265722 909334898583 1212446531444 1818669797166 3334227961471 3637339594332 6668455922942 10002683884413 13336911845884 20005367768826 40010735537652