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5756193870 = 235747643907
BaseRepresentation
bin1010101110001100…
…01000110001001110
3112212011021221112120
411113012020301032
543242041200440
62351103113410
7262433561220
oct52706106116
915764257476
105756193870
112494248719
1211478a2866
1370971469b
143c86a6410
1523a528dd0
hex157188c4e

5756193870 has 128 divisors (see below), whose sum is σ = 16167223296. Its totient is φ = 1284287616.

The previous prime is 5756193857. The next prime is 5756193871. The reversal of 5756193870 is 783916575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5756193871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6345957 + ... + 6346863.

It is an arithmetic number, because the mean of its divisors is an integer number (126306432).

Almost surely, 25756193870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756193870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083611648).

5756193870 is an abundant number, since it is smaller than the sum of its proper divisors (10411029426).

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

5756193870 is a wasteful number, since it uses less digits than its factorization.

5756193870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614.

The product of its (nonzero) digits is 1587600, while the sum is 51.

The square root of 5756193870 is about 75869.5846172892. The cubic root of 5756193870 is about 1792.1669780813.

The spelling of 5756193870 in words is "five billion, seven hundred fifty-six million, one hundred ninety-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 643 658 705 907 987 1286 1410 1645 1814 1929 1974 2721 3215 3290 3858 4501 4535 4935 5442 6349 6430 9002 9070 9645 9870 12698 13503 13605 19047 19290 22505 27006 27210 30221 31745 38094 42629 45010 60442 63490 67515 85258 90663 95235 127887 135030 151105 181326 190470 211547 213145 255774 298403 302210 423094 426290 453315 583201 596806 634641 639435 895209 906630 1057735 1166402 1269282 1278870 1492015 1749603 1790418 2115470 2916005 2984030 3173205 3499206 4082407 4476045 5832010 6346410 8164814 8748015 8952090 12247221 17496030 20412035 24494442 27410447 40824070 54820894 61236105 82231341 122472210 137052235 164462682 191873129 274104470 383746258 411156705 575619387 822313410 959365645 1151238774 1918731290 2878096935 5756193870