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42505153104 = 24313721413019
BaseRepresentation
bin100111100101100000…
…010010101001010000
311001201020221111111210
4213211200102221100
51144022304344404
631305424540120
73033213561111
oct474540225120
9131636844453
1042505153104
1117032061707
1282a2a81640
13401509738b
1420b31a0208
15118b8ce689
hex9e5812a50

42505153104 has 80 divisors (see below), whose sum is σ = 110694790080. Its totient is φ = 14053739520.

The previous prime is 42505153087. The next prime is 42505153109. The reversal of 42505153104 is 40135150524.

It is a super-3 number, since 3×425051531043 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42505153109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14077707 + ... + 14080725.

It is an arithmetic number, because the mean of its divisors is an integer number (1383684876).

Almost surely, 242505153104 is an apocalyptic number.

It is an amenable number.

42505153104 is an abundant number, since it is smaller than the sum of its proper divisors (68189636976).

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

42505153104 is a wasteful number, since it uses less digits than its factorization.

42505153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 42505153104 in words is "forty-two billion, five hundred five million, one hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2141 2192 3019 3288 4282 6038 6423 6576 8564 9057 12076 12846 17128 18114 24152 25692 34256 36228 48304 51384 72456 102768 144912 293317 413603 586634 827206 879951 1173268 1240809 1654412 1759902 2346536 2481618 3308824 3519804 4693072 4963236 6463679 6617648 7039608 9926472 12927358 14079216 19391037 19852944 25854716 38782074 51709432 77564148 103418864 155128296 310256592 885524023 1771048046 2656572069 3542096092 5313144138 7084192184 10626288276 14168384368 21252576552 42505153104