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10037001104 = 24131919113297
BaseRepresentation
bin10010101100100000…
…00111101110010000
3221220111101111002122
421112100013232100
5131023433013404
64335543433412
7503504046614
oct112620075620
927814344078
1010037001104
114290697539
121b41455868
13c3c574010
146b3035344
153db26b3be
hex256407b90

10037001104 has 80 divisors (see below), whose sum is σ = 22161914880. Its totient is φ = 4365342720.

The previous prime is 10037001089. The next prime is 10037001109. The reversal of 10037001104 is 40110073001.

It is not an unprimeable number, because it can be changed into a prime (10037001109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748184 + ... + 761480.

It is an arithmetic number, because the mean of its divisors is an integer number (277023936).

Almost surely, 210037001104 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 10037001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080957440).

10037001104 is an abundant number, since it is smaller than the sum of its proper divisors (12124913776).

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

10037001104 is a wasteful number, since it uses less digits than its factorization.

10037001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13528 (or 13522 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 10037001104 its reverse (40110073001), we get a palindrome (50147074105).

The spelling of 10037001104 in words is "ten billion, thirty-seven million, one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 191 208 247 304 382 494 764 988 1528 1976 2483 3056 3629 3952 4966 7258 9932 13297 14516 19864 26594 29032 39728 47177 53188 58064 94354 106376 172861 188708 212752 252643 345722 377416 505286 691444 754832 1010572 1382888 2021144 2539727 2765776 3284359 4042288 5079454 6568718 10158908 13137436 20317816 26274872 33016451 40635632 48254813 52549744 66032902 96509626 132065804 193019252 264131608 386038504 528263216 627312569 772077008 1254625138 2509250276 5018500552 10037001104