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10745957742 = 23132343139301
BaseRepresentation
bin10100000001000001…
…00100110101101110
31000201220102012202220
422000200210311232
5134001431121432
64534151100210
7530203063602
oct120040446556
930656365686
1010745957742
1146148a4113
1220ba971666
1310233cb0a0
1473d261502
1542d60c72c
hex280824d6e

10745957742 has 64 divisors (see below), whose sum is σ = 24713289216. Its totient is φ = 3089116800.

The previous prime is 10745957741. The next prime is 10745957777. The reversal of 10745957742 is 24775954701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10745957741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7492 + ... + 146792.

It is an arithmetic number, because the mean of its divisors is an integer number (386145144).

Almost surely, 210745957742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10745957742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356644608).

10745957742 is an abundant number, since it is smaller than the sum of its proper divisors (13967331474).

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

10745957742 is a wasteful number, since it uses less digits than its factorization.

10745957742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139385.

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 10745957742 in words is "ten billion, seven hundred forty-five million, nine hundred fifty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 43 46 69 78 86 129 138 258 299 559 598 897 989 1118 1677 1794 1978 2967 3354 5934 12857 25714 38571 77142 139301 278602 417903 835806 1810913 3203923 3621826 5432739 5989943 6407846 9611769 10865478 11979886 17969829 19223538 35939658 41650999 77869259 83301998 124952997 137768689 155738518 233607777 249905994 275537378 413306067 467215554 826612134 1790992957 3581985914 5372978871 10745957742