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30593498112 = 2103217195271
BaseRepresentation
bin11100011111100000…
…111011110000000000
32220222010001201201200
4130133200323300000
51000123413414422
622015432501200
72132064305022
oct343740736000
986863051650
1030593498112
1111a7a260a41
125b1984a800
132b67325408
1416a31bc012
15be0cb02ac
hex71f83bc00

30593498112 has 132 divisors (see below), whose sum is σ = 93534897456. Its totient is φ = 9597911040.

The previous prime is 30593498107. The next prime is 30593498113. The reversal of 30593498112 is 21189439503.

It is a happy number.

30593498112 is a `hidden beast` number, since 3 + 0 + 593 + 49 + 8 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30593498113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59037 + ... + 254307.

It is an arithmetic number, because the mean of its divisors is an integer number (708597708).

Almost surely, 230593498112 is an apocalyptic number.

30593498112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30593498112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46767448728).

30593498112 is an abundant number, since it is smaller than the sum of its proper divisors (62941399344).

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

30593498112 is a wasteful number, since it uses less digits than its factorization.

30593498112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195314 (or 195293 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 30593498112 in words is "thirty billion, five hundred ninety-three million, four hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 39168 52224 78336 156672 195271 390542 585813 781084 1171626 1562168 1757439 2343252 3124336 3319607 3514878 4686504 6248672 6639214 7029756 9373008 9958821 12497344 13278428 14059512 18746016 19917642 24994688 26556856 28119024 29876463 37492032 39835284 49989376 53113712 56238048 59752926 74984064 79670568 99978752 106227424 112476096 119505852 149968128 159341136 199957504 212454848 224952192 239011704 299936256 318682272 424909696 449904384 478023408 599872512 637364544 849819392 899808768 956046816 1274729088 1699638784 1799617536 1912093632 2549458176 3399277568 3824187264 5098916352 7648374528 10197832704 15296749056 30593498112