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45238073136 = 2437397133097
BaseRepresentation
bin101010001000011001…
…100011011100110000
311022202201102020000020
4222020121203130300
51220121421320021
632440532523440
73161020164024
oct521031433460
9138681366006
1045238073136
1118204792a03
128926180580
13435c338c19
142292122384
15129b7b87c6
hexa88663730

45238073136 has 80 divisors (see below), whose sum is σ = 119688110304. Its totient is φ = 14719352832.

The previous prime is 45238073131. The next prime is 45238073137. The reversal of 45238073136 is 63137083254.

It is a super-2 number, since 2×452380731362 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45238073131) 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, 273340 + ... + 406436.

Almost surely, 245238073136 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 45238073136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59844055152).

45238073136 is an abundant number, since it is smaller than the sum of its proper divisors (74450037168).

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

45238073136 is a wasteful number, since it uses less digits than its factorization.

45238073136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133278 (or 133272 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 45238073136 in words is "forty-five billion, two hundred thirty-eight million, seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 97 146 194 219 291 292 388 438 582 584 776 876 1164 1168 1552 1752 2328 3504 4656 7081 14162 21243 28324 42486 56648 84972 113296 133097 169944 266194 339888 399291 532388 798582 1064776 1597164 2129552 3194328 6388656 9716081 12910409 19432162 25820818 29148243 38731227 38864324 51641636 58296486 77462454 77728648 103283272 116592972 154924908 155457296 206566544 233185944 309849816 466371888 619699632 942459857 1884919714 2827379571 3769839428 5654759142 7539678856 11309518284 15079357712 22619036568 45238073136