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42812643930 = 23573131321011
BaseRepresentation
bin100111110111110101…
…010001101001011010
311002111200112122121220
4213313311101221122
51200140014101210
631400131312510
73043636316610
oct476765215132
9132450478556
1042812643930
111717a692061
128369a4b736
1340639b8904
142101d636b0
1511a88bcc70
hex9f7d51a5a

42812643930 has 128 divisors (see below), whose sum is σ = 121610059776. Its totient is φ = 9439372800.

The previous prime is 42812643901. The next prime is 42812643967. The reversal of 42812643930 is 3934621824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2027125 + ... + 2048135.

It is an arithmetic number, because the mean of its divisors is an integer number (950078592).

Almost surely, 242812643930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42812643930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60805029888).

42812643930 is an abundant number, since it is smaller than the sum of its proper divisors (78797415846).

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

42812643930 is a wasteful number, since it uses less digits than its factorization.

42812643930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21372.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 42812643930 in words is "forty-two billion, eight hundred twelve million, six hundred forty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 313 434 465 626 651 930 939 1085 1302 1565 1878 2170 2191 3130 3255 4382 4695 6510 6573 9390 9703 10955 13146 19406 21011 21910 29109 32865 42022 48515 58218 63033 65730 67921 97030 105055 126066 135842 145545 147077 203763 210110 291090 294154 315165 339605 407526 441231 630330 651341 679210 735385 882462 1018815 1302682 1470770 1954023 2037630 2206155 3256705 3908046 4412310 4559387 6513410 6576443 9118774 9770115 13152886 13678161 19540230 19729329 22796935 27356322 32882215 39458658 45593870 46035101 65764430 68390805 92070202 98646645 136781610 138105303 197293290 203869733 230175505 276210606 407739466 460351010 611609199 690526515 1019348665 1223218398 1381053030 1427088131 2038697330 2854176262 3058045995 4281264393 6116091990 7135440655 8562528786 14270881310 21406321965 42812643930