Search a number
-
+
191857793010 = 235131747960413
BaseRepresentation
bin1011001010101110011…
…1011001011111110010
3200100012220021201021120
42302223213121133302
511120411043334020
6224045510203110
716601262222132
oct2625347313762
9610186251246
10191857793010
11744037a4614
1231224953496
13151274a8310
14940099aac2
154ecd738740
hex2cab9d97f2

191857793010 has 128 divisors (see below), whose sum is σ = 526152775680. Its totient is φ = 44354973696.

The previous prime is 191857792991. The next prime is 191857793011. The reversal of 191857793010 is 10397758191.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (191857793011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3145564 + ... + 3205976.

It is an arithmetic number, because the mean of its divisors is an integer number (4110568560).

Almost surely, 2191857793010 is an apocalyptic number.

191857793010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 191857793010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263076387840).

191857793010 is an abundant number, since it is smaller than the sum of its proper divisors (334294982670).

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

191857793010 is a wasteful number, since it uses less digits than its factorization.

191857793010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60932.

The product of its (nonzero) digits is 476280, while the sum is 51.

The spelling of 191857793010 in words is "one hundred ninety-one billion, eight hundred fifty-seven million, seven hundred ninety-three thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 479 510 663 958 1105 1326 1437 2210 2395 2874 3315 4790 6227 6630 7185 8143 12454 14370 16286 18681 24429 31135 37362 40715 48858 60413 62270 81430 93405 105859 120826 122145 181239 186810 211718 244290 302065 317577 362478 529295 604130 635154 785369 906195 1027021 1058590 1570738 1587885 1812390 2054042 2356107 3081063 3175770 3926845 4712214 5135105 6162126 7853690 10270210 11780535 13351273 15405315 23561070 26702546 28937827 30810630 40053819 57875654 66756365 80107638 86813481 133512730 144689135 173626962 200269095 289378270 376191751 400538190 434067405 491943059 752383502 868134810 983886118 1128575253 1475829177 1880958755 2257150506 2459715295 2951658354 3761917510 4919430590 5642876265 6395259767 7379145885 11285752530 12790519534 14758291770 19185779301 31976298835 38371558602 63952597670 95928896505 191857793010