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10042697304 = 23331916714653
BaseRepresentation
bin10010101101001011…
…10110011001011000
3221220220002212211000
421112211312121120
5131031412303204
64340305505000
7503603342613
oct112645663130
927826085730
1010042697304
114293928142
121b43342160
13c407b9953
146b3ab917a
153db9e4039
hex256976658

10042697304 has 128 divisors (see below), whose sum is σ = 29542464000. Its totient is φ = 3152172672.

The previous prime is 10042697281. The next prime is 10042697341. The reversal of 10042697304 is 40379624001.

10042697304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 678042 + ... + 692694.

It is an arithmetic number, because the mean of its divisors is an integer number (230800500).

Almost surely, 210042697304 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 10042697304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14771232000).

10042697304 is an abundant number, since it is smaller than the sum of its proper divisors (19499766696).

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

10042697304 is a wasteful number, since it uses less digits than its factorization.

10042697304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14854 (or 14844 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10042697304 in words is "ten billion, forty-two million, six hundred ninety-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 167 171 216 228 334 342 456 501 513 668 684 1002 1026 1336 1368 1503 2004 2052 3006 3173 4008 4104 4509 6012 6346 9018 9519 12024 12692 14653 18036 19038 25384 28557 29306 36072 38076 43959 57114 58612 76152 85671 87918 114228 117224 131877 171342 175836 228456 263754 278407 342684 351672 395631 527508 556814 685368 791262 835221 1055016 1113628 1582524 1670442 2227256 2447051 2505663 3165048 3340884 4894102 5011326 6681768 7341153 7516989 9788204 10022652 14682306 15033978 19576408 20045304 22023459 29364612 30067956 44046918 46493969 58729224 60135912 66070377 88093836 92987938 132140754 139481907 176187672 185975876 264281508 278963814 371951752 418445721 528563016 557927628 836891442 1115855256 1255337163 1673782884 2510674326 3347565768 5021348652 10042697304