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10243419004 = 22713192775347
BaseRepresentation
bin10011000101000111…
…00010101101111100
3222102212210121020001
421202203202231330
5131434303402004
64412240004044
7511561424230
oct114243425574
928385717201
1010243419004
114387163345
121b9a600624
13c732675a0
146d26085c0
153ee4421a4
hex2628e2b7c

10243419004 has 96 divisors (see below), whose sum is σ = 23312145920. Its totient is φ = 3824485632.

The previous prime is 10243418993. The next prime is 10243419013. The reversal of 10243419004 is 40091434201.

10243419004 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 (28).

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, 1913059 + ... + 1918405.

Almost surely, 210243419004 is an apocalyptic number.

10243419004 is a gapful number since it is divisible by the number (14) 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 10243419004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656072960).

10243419004 is an abundant number, since it is smaller than the sum of its proper divisors (13068726916).

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

10243419004 is a wasteful number, since it uses less digits than its factorization.

10243419004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10243419004 in words is "ten billion, two hundred forty-three million, four hundred nineteen thousand, four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 277 364 494 532 554 988 1108 1729 1939 3458 3601 3878 5263 5347 6916 7202 7756 10526 10694 14404 21052 21388 25207 36841 37429 50414 68419 69511 73682 74858 100828 101593 136838 139022 147364 149716 203186 273676 278044 406372 478933 486577 711151 957866 973154 1320709 1422302 1481119 1915732 1946308 2641418 2844604 2962238 5282836 5924476 9244963 10367833 18489926 19254547 20735666 28141261 36979852 38509094 41471332 56282522 77018188 112565044 134781829 196988827 269563658 365836393 393977654 539127316 731672786 787955308 1463345572 2560854751 5121709502 10243419004