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42645133888 = 2672333712281
BaseRepresentation
bin100111101101110110…
…010001101001000000
311002002000100021001021
4213231312101221000
51144314123241023
631331345115224
73036533441260
oct475566215100
9132060307037
1042645133888
11170a4080305
128321928b14
134038098a46
1420c79db7a0
151198d3035d
hex9edd91a40

42645133888 has 112 divisors (see below), whose sum is σ = 101225689344. Its totient is φ = 17428561920.

The previous prime is 42645133873. The next prime is 42645133891. The reversal of 42645133888 is 88833154624.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3466308 + ... + 3478588.

Almost surely, 242645133888 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 42645133888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50612844672).

42645133888 is an abundant number, since it is smaller than the sum of its proper divisors (58580555456).

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

42645133888 is a wasteful number, since it uses less digits than its factorization.

42645133888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660 (or 12650 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 52.

The spelling of 42645133888 in words is "forty-two billion, six hundred forty-five million, one hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 337 368 448 644 674 736 1288 1348 1472 2359 2576 2696 4718 5152 5392 7751 9436 10304 10784 12281 15502 18872 21568 24562 31004 37744 49124 54257 62008 75488 85967 98248 108514 124016 150976 171934 196496 217028 248032 282463 343868 392992 434056 496064 564926 687736 785984 868112 1129852 1375472 1736224 1977241 2259704 2750944 3472448 3954482 4138697 4519408 5501888 7908964 8277394 9038816 15817928 16554788 18077632 28970879 31635856 33109576 57941758 63271712 66219152 95190031 115883516 126543424 132438304 190380062 231767032 264876608 380760124 463534064 666330217 761520248 927068128 1332660434 1523040496 1854136256 2665320868 3046080992 5330641736 6092161984 10661283472 21322566944 42645133888