Search a number
-
+
19700542260 = 223257127123113
BaseRepresentation
bin10010010110001111…
…100110101100110100
31212211222001020110100
4102112033212230310
5310321314323020
613014510554100
71265124563160
oct222617465464
955758036410
1019700542260
11839a495a93
123999808930
131b1c6398c9
14d4c613ca0
157a4817a90
hex4963e6b34

19700542260 has 144 divisors (see below), whose sum is σ = 68833529856. Its totient is φ = 4467488256.

The previous prime is 19700542243. The next prime is 19700542283. The reversal of 19700542260 is 6224500791.

19700542260 is a `hidden beast` number, since 1 + 97 + 0 + 0 + 542 + 26 + 0 = 666.

It is a super-2 number, since 2×197005422602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98464 + ... + 221576.

It is an arithmetic number, because the mean of its divisors is an integer number (478010624).

Almost surely, 219700542260 is an apocalyptic number.

19700542260 is a gapful number since it is divisible by the number (10) 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 19700542260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34416764928).

19700542260 is an abundant number, since it is smaller than the sum of its proper divisors (49132987596).

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

19700542260 is a wasteful number, since it uses less digits than its factorization.

19700542260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123262 (or 123257 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 19700542260 in words is "nineteen billion, seven hundred million, five hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 315 381 420 508 630 635 762 889 1143 1260 1270 1524 1778 1905 2286 2540 2667 3556 3810 4445 4572 5334 5715 7620 8001 8890 10668 11430 13335 16002 17780 22860 26670 32004 40005 53340 80010 123113 160020 246226 369339 492452 615565 738678 861791 1108017 1231130 1477356 1723582 1846695 2216034 2462260 2585373 3447164 3693390 4308955 4432068 5170746 5540085 7386780 7756119 8617910 10341492 11080170 12926865 15512238 15635351 17235820 22160340 25853730 31024476 31270702 38780595 46906053 51707460 62541404 77561190 78176755 93812106 109447457 140718159 155122380 156353510 187624212 218894914 234530265 281436318 312707020 328342371 437789828 469060530 547237285 562872636 656684742 703590795 938121060 985027113 1094474570 1313369484 1407181590 1641711855 1970054226 2188949140 2814363180 3283423710 3940108452 4925135565 6566847420 9850271130 19700542260