Search a number
-
+
19724594148 = 2234717511583
BaseRepresentation
bin10010010111101011…
…010110101111100100
31212220122022012110000
4102113223112233210
5310343444003043
613021130301300
71265536166250
oct222753265744
955818265400
1019724594148
118402023586
1239a5887830
131b2460b3ac
14d518b5260
157a69b92d3
hex497ad6be4

19724594148 has 120 divisors (see below), whose sum is σ = 62396877312. Its totient is φ = 5304082176.

The previous prime is 19724594129. The next prime is 19724594167. The reversal of 19724594148 is 84149542791.

19724594148 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 4 + 594 + 1 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (19724594129) and next prime (19724594167).

It is a super-2 number, since 2×197245941482 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19724594094 and 19724594103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217236 + ... + 294347.

Almost surely, 219724594148 is an apocalyptic number.

19724594148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19724594148 is an abundant number, since it is smaller than the sum of its proper divisors (42672283164).

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

19724594148 is a wasteful number, since it uses less digits than its factorization.

19724594148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511623 (or 511612 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 19724594148 in words is "nineteen billion, seven hundred twenty-four million, five hundred ninety-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 19278 38556 511583 1023166 1534749 2046332 3069498 3581081 4604247 6138996 7162162 8696911 9208494 10743243 13812741 14324324 17393822 18416988 21486486 26090733 27625482 32229729 34787644 41438223 42972972 52181466 55250964 60878377 64459458 78272199 82876446 96689187 104362932 121756754 128918916 156544398 165752892 182635131 193378374 234816597 243513508 290067561 313088796 365270262 386756748 469633194 547905393 580135122 704449791 730540524 939266388 1095810786 1160270244 1408899582 1643716179 2191621572 2817799164 3287432358 4931148537 6574864716 9862297074 19724594148