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16948017590 = 257323214831
BaseRepresentation
bin11111100100010111…
…00011100110110110
31121202010200111110012
433302023203212312
5234202143030330
611441422500222
71136662526000
oct176213434666
947663614405
1016948017590
117207794509
12334ba34672
1317a12c289a
14b6ac2b370
15692d59c95
hex3f22e39b6

16948017590 has 64 divisors (see below), whose sum is σ = 37122969600. Its totient is φ = 5558081760.

The previous prime is 16948017563. The next prime is 16948017637. The reversal of 16948017590 is 9571084961.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28526 + ... + 186305.

It is an arithmetic number, because the mean of its divisors is an integer number (580046400).

Almost surely, 216948017590 is an apocalyptic number.

16948017590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16948017590 is an abundant number, since it is smaller than the sum of its proper divisors (20174952010).

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

16948017590 is a wasteful number, since it uses less digits than its factorization.

16948017590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214882 (or 214868 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The spelling of 16948017590 in words is "sixteen billion, nine hundred forty-eight million, seventeen thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 230 245 322 343 490 686 805 1127 1610 1715 2254 3430 5635 7889 11270 15778 39445 78890 214831 429662 1074155 1503817 2148310 3007634 4941113 7519085 9882226 10526719 15038170 21053438 24705565 34587791 49411130 52633595 69175582 73687033 105267190 147374066 172938955 242114537 345877910 368435165 484229074 736870330 1210572685 1694801759 2421145370 3389603518 8474008795 16948017590