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88020011838 = 231119292519643
BaseRepresentation
bin101000111111001100…
…1101100101100111110
322102012021011212222110
41101332121230230332
52420231110334323
6104234050154450
76234134520213
oct1217631545476
9272167155873
1088020011838
1134369002740
1215085882a26
1383b9863855
14438dd71b0a
15245261d793
hex147e66cb3e

88020011838 has 128 divisors (see below), whose sum is σ = 209976883200. Its totient is φ = 24297840000.

The previous prime is 88020011791. The next prime is 88020011839. The reversal of 88020011838 is 83811002088.

It is a junction number, because it is equal to n+sod(n) for n = 88020011796 and 88020011805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88020011839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9123045 + ... + 9132687.

It is an arithmetic number, because the mean of its divisors is an integer number (1640444400).

Almost surely, 288020011838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88020011838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104988441600).

88020011838 is an abundant number, since it is smaller than the sum of its proper divisors (121956871362).

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

88020011838 is a wasteful number, since it uses less digits than its factorization.

88020011838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958.

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 88020011838 in words is "eighty-eight billion, twenty million, eleven thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 174 209 251 319 418 502 551 627 638 753 957 1102 1254 1506 1653 1914 2761 3306 4769 5522 6061 7279 8283 9538 9643 12122 14307 14558 16566 18183 19286 21837 28614 28929 36366 43674 52459 57858 80069 104918 106073 138301 157377 160138 183217 212146 240207 276602 279647 314754 318219 366434 414903 480414 549651 559294 636438 829806 838941 1099302 1521311 1677882 2015387 2420393 3042622 3076117 4030774 4563933 4840786 5313293 6046161 6152234 7261179 9127866 9228351 10626586 12092322 14522358 15939879 18456702 26624323 31879758 45987467 53248646 58446223 70191397 79872969 91974934 116892446 137962401 140382794 159745938 175338669 210574191 275924802 350677338 421148382 505862137 772105367 1011724274 1333636543 1517586411 1544210734 2316316101 2667273086 3035172822 4000909629 4632632202 8001819258 14670001973 29340003946 44010005919 88020011838