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17930230192 = 247376764579
BaseRepresentation
bin10000101100101110…
…011001100110110000
31201021120220001211201
4100230232121212300
5243210114331232
612123111020544
71203220304410
oct205456314660
951246801751
1017930230192
117671169366
12358496a754
1318c9942784
14c21468640
156ee1c5be7
hex42cb999b0

17930230192 has 80 divisors (see below), whose sum is σ = 41384930560. Its totient is φ = 7364991744.

The previous prime is 17930230189. The next prime is 17930230193. The reversal of 17930230192 is 29103203971.

It is a happy number.

It is a super-3 number, since 3×179302301923 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (17930230193) 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, 245359 + ... + 309937.

It is an arithmetic number, because the mean of its divisors is an integer number (517311632).

Almost surely, 217930230192 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 17930230192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692465280).

17930230192 is an abundant number, since it is smaller than the sum of its proper divisors (23454700368).

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

17930230192 is a wasteful number, since it uses less digits than its factorization.

17930230192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64698 (or 64692 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The spelling of 17930230192 in words is "seventeen billion, nine hundred thirty million, two hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 67 74 112 134 148 259 268 296 469 518 536 592 938 1036 1072 1876 2072 2479 3752 4144 4958 7504 9916 17353 19832 34706 39664 64579 69412 129158 138824 258316 277648 452053 516632 904106 1033264 1808212 2389423 3616424 4326793 4778846 7232848 8653586 9557692 16725961 17307172 19115384 30287551 33451922 34614344 38230768 60575102 66903844 69228688 121150204 133807688 160091341 242300408 267615376 320182682 484600816 640365364 1120639387 1280730728 2241278774 2561461456 4482557548 8965115096 17930230192