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99138119200 = 2552177769737
BaseRepresentation
bin101110001010100010…
…1111010011000100000
3100110220002212021001121
41130111011322120200
53111013324303300
6113313213542024
710106510052331
oct1342505723040
9313802767047
1099138119200
113905397a31a
12172691a4914
13946c0a17c3
144b267c8288
1528a373c81a
hex171517a620

99138119200 has 72 divisors (see below), whose sum is σ = 242160602292. Its totient is φ = 39632363520.

The previous prime is 99138119189. The next prime is 99138119221. The reversal of 99138119200 is 291183199.

It can be written as a sum of positive squares in 6 ways, for example, as 36034669584 + 63103449616 = 189828^2 + 251204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1386732 + ... + 1456468.

Almost surely, 299138119200 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 99138119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080301146).

99138119200 is an abundant number, since it is smaller than the sum of its proper divisors (143022483092).

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

99138119200 is a wasteful number, since it uses less digits than its factorization.

99138119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71534 (or 71521 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The spelling of 99138119200 in words is "ninety-nine billion, one hundred thirty-eight million, one hundred nineteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1777 3554 7108 8885 14216 17770 28432 35540 44425 56864 69737 71080 88850 139474 142160 177700 278948 284320 348685 355400 557896 697370 710800 1115792 1394740 1421600 1743425 2231584 2789480 3486850 5578960 6973700 11157920 13947400 27894800 55789600 123922649 247845298 495690596 619613245 991381192 1239226490 1982762384 2478452980 3098066225 3965524768 4956905960 6196132450 9913811920 12392264900 19827623840 24784529800 49569059600 99138119200