Search a number
-
+
23641810853136 = 2437113820975853
BaseRepresentation
bin1010110000000100010011…
…01111001101110100010000
310002201010122110002020121020
411120002021233031310100
511044321412034300021
6122140521543355440
74660031053354020
oct530021157156420
9102633573066536
1023641810853136
117595487982093
122799b36752b80
13102654aa43708
145ba3ac2a5a80
152aee9edcd7c6
hex158089bcdd10

23641810853136 has 160 divisors (see below), whose sum is σ = 70426834417920. Its totient is φ = 6694122258432.

The previous prime is 23641810853113. The next prime is 23641810853137. The reversal of 23641810853136 is 63135801814632.

It is a super-2 number, since 2×236418108531362 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23641810853137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311641386 + ... + 311717238.

It is an arithmetic number, because the mean of its divisors is an integer number (440167715112).

Almost surely, 223641810853136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23641810853136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35213417208960).

23641810853136 is an abundant number, since it is smaller than the sum of its proper divisors (46785023564784).

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

23641810853136 is a wasteful number, since it uses less digits than its factorization.

23641810853136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84193 (or 84187 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 23641810853136 in words is "twenty-three trillion, six hundred forty-one billion, eight hundred ten million, eight hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 3164 4746 5424 6328 8209 9492 12656 16418 18984 24627 32836 37968 49254 57463 65672 75853 98508 114926 131344 151706 172389 197016 227559 229852 303412 344778 394032 455118 459704 530971 606824 689556 910236 919408 927617 1061942 1213648 1379112 1592913 1820472 1855234 2123884 2758224 2782851 3185826 3640944 3710468 4247768 5565702 6371652 6493319 7420936 8495536 8571389 11131404 12743304 12986638 14841872 17142778 19479957 22262808 25486608 25714167 25973276 34285556 38959914 44525616 51428334 51946552 59999723 68571112 77919828 102856668 103893104 119999446 137142224 155839656 179999169 205713336 239998892 311679312 359998338 411426672 479997784 622677277 719996676 959995568 1245354554 1439993352 1868031831 2490709108 2879986704 3736063662 4358740939 4981418216 7472127324 8717481878 9962836432 13076222817 14944254648 17434963756 26152445634 29888509296 34869927512 52304891268 69739855024 70362532301 104609782536 140725064602 209219565072 211087596903 281450129204 422175193806 492537726107 562900258408 844350387612 985075452214 1125800516816 1477613178321 1688700775224 1970150904428 2955226356642 3377401550448 3940301808856 5910452713284 7880603617712 11820905426568 23641810853136