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14923790730 = 2345191915077
BaseRepresentation
bin11011110011000011…
…01111100110001010
31102112001202010020000
431321201233212022
5221030442300410
610504512343430
71035553061652
oct157141574612
942461663200
1014923790730
1163690aa952
122a85b44b76
13153ab15204
14a18067362
155c52addc0
hex37986f98a

14923790730 has 160 divisors (see below), whose sum is σ = 42469954560. Its totient is φ = 3749742720.

The previous prime is 14923790719. The next prime is 14923790737. The reversal of 14923790730 is 3709732941.

14923790730 is a `hidden beast` number, since 1 + 492 + 3 + 7 + 90 + 73 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14923790737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2936952 + ... + 2942028.

It is an arithmetic number, because the mean of its divisors is an integer number (265437216).

Almost surely, 214923790730 is an apocalyptic number.

14923790730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14923790730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234977280).

14923790730 is an abundant number, since it is smaller than the sum of its proper divisors (27546163830).

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

14923790730 is a wasteful number, since it uses less digits than its factorization.

14923790730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 14923790730 in words is "fourteen billion, nine hundred twenty-three million, seven hundred ninety thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 191 270 285 342 382 405 513 570 573 810 855 955 1026 1146 1539 1710 1719 1910 2565 2865 3078 3438 3629 5077 5130 5157 5730 7258 7695 8595 10154 10314 10887 15231 15390 15471 17190 18145 21774 25385 25785 30462 30942 32661 36290 45693 50770 51570 54435 65322 76155 77355 91386 96463 97983 108870 137079 152310 154710 163305 192926 195966 228465 274158 289389 293949 326610 411237 456930 482315 489915 578778 587898 685395 822474 868167 964630 969707 979830 1370790 1446945 1469745 1736334 1939414 2056185 2604501 2893890 2909121 2939490 4112370 4340835 4848535 5209002 5818242 7813503 8681670 8727363 9697070 13022505 14545605 15627006 17454726 18424433 26045010 26182089 29091210 36848866 39067515 43636815 52364178 55273299 78135030 78546267 87273630 92122165 110546598 130910445 157092534 165819897 184244330 261820890 276366495 331639794 392731335 497459691 552732990 785462670 829099485 994919382 1492379073 1658198970 2487298455 2984758146 4974596910 7461895365 14923790730