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87888117312 = 2633151336829
BaseRepresentation
bin101000111011010001…
…0100011111001000000
322101212001222221201000
41101312202203321000
52414443324223222
6104213015212000
76230643446112
oct1216642437100
9271761887630
1087888117312
11343006073a6
1215049677000
138398433958
14437a63b3b2
152445c689ac
hex14768a3e40

87888117312 has 112 divisors (see below), whose sum is σ = 260086652800. Its totient is φ = 29101939200.

The previous prime is 87888117311. The next prime is 87888117367. The reversal of 87888117312 is 21371188878.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87888117311) 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, 92514 + ... + 429342.

Almost surely, 287888117312 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 87888117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130043326400).

87888117312 is an abundant number, since it is smaller than the sum of its proper divisors (172198535488).

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

87888117312 is a wasteful number, since it uses less digits than its factorization.

87888117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337001 (or 336985 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 54.

The spelling of 87888117312 in words is "eighty-seven billion, eight hundred eighty-eight million, one hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 151 192 216 288 302 432 453 576 604 864 906 1208 1359 1728 1812 2416 2718 3624 4077 4832 5436 7248 8154 9664 10872 14496 16308 21744 28992 32616 43488 65232 86976 130464 260928 336829 673658 1010487 1347316 2020974 2694632 3031461 4041948 5389264 6062922 8083896 9094383 10778528 12125844 16167792 18188766 21557056 24251688 32335584 36377532 48503376 50861179 64671168 72755064 97006752 101722358 145510128 152583537 194013504 203444716 291020256 305167074 406889432 457750611 582040512 610334148 813778864 915501222 1220668296 1373251833 1627557728 1831002444 2441336592 2746503666 3255115456 3662004888 4882673184 5493007332 7324009776 9765346368 10986014664 14648019552 21972029328 29296039104 43944058656 87888117312