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10037369340 = 2234513147297
BaseRepresentation
bin10010101100100011…
…00001100111111100
3221220112002012020000
421112101201213330
5131024031304330
64335555354300
7503510142315
oct112621414774
927815065200
1010037369340
114290919169
121b415b2990
13c3c6727cb
146b30cd60c
153db2e0560
hex2564619fc

10037369340 has 120 divisors (see below), whose sum is σ = 31728633552. Its totient is φ = 2656143360.

The previous prime is 10037369333. The next prime is 10037369341. The reversal of 10037369340 is 4396373001.

10037369340 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 junction number, because it is equal to n+sod(n) for n = 10037369295 and 10037369304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037369341) 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 39 ways as a sum of consecutive naturals, for example, 188572 + ... + 235868.

Almost surely, 210037369340 is an apocalyptic number.

10037369340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10037369340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864316776).

10037369340 is an abundant number, since it is smaller than the sum of its proper divisors (21691264212).

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

10037369340 is a wasteful number, since it uses less digits than its factorization.

10037369340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47449 (or 47438 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 10037369340 in words is "ten billion, thirty-seven million, three hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 131 135 162 180 262 270 324 393 405 524 540 655 786 810 1179 1310 1572 1620 1965 2358 2620 3537 3930 4716 5895 7074 7860 10611 11790 14148 17685 21222 23580 35370 42444 47297 53055 70740 94594 106110 141891 189188 212220 236485 283782 425673 472970 567564 709455 851346 945940 1277019 1418910 1702692 2128365 2554038 2837820 3831057 4256730 5108076 6195907 6385095 7662114 8513460 12391814 12770190 15324228 18587721 19155285 24783628 25540380 30979535 37175442 38310570 55763163 61959070 74350884 76621140 92938605 111526326 123918140 167289489 185877210 223052652 278815815 334578978 371754420 501868467 557631630 669157956 836447445 1003736934 1115263260 1672894890 2007473868 2509342335 3345789780 5018684670 10037369340