Search a number
-
+
21372475500 = 2232535418779
BaseRepresentation
bin10011111001111001…
…100001100001101100
32001011111002020200200
4103321321201201230
5322232323204000
613452434153500
71354426021125
oct237171414154
961144066620
1021372475500
1190782291a2
124185722890
132027b3a10c
14106a6b104c
158514c5500
hex4f9e6186c

21372475500 has 144 divisors (see below), whose sum is σ = 67555356960. Its totient is φ = 5688144000.

The previous prime is 21372475499. The next prime is 21372475507. The reversal of 21372475500 is 557427312.

21372475500 is a `hidden beast` number, since 2 + 13 + 72 + 4 + 75 + 500 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21372475507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430111 + ... + 2438889.

Almost surely, 221372475500 is an apocalyptic number.

21372475500 is a gapful number since it is divisible by the number (20) 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 21372475500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33777678480).

21372475500 is an abundant number, since it is smaller than the sum of its proper divisors (46182881460).

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

21372475500 is a wasteful number, since it uses less digits than its factorization.

21372475500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 21372475500 in words is "twenty-one billion, three hundred seventy-two million, four hundred seventy-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 541 750 900 1082 1125 1500 1623 2164 2250 2705 3246 4500 4869 5410 6492 8115 8779 9738 10820 13525 16230 17558 19476 24345 26337 27050 32460 35116 40575 43895 48690 52674 54100 67625 79011 81150 87790 97380 105348 121725 131685 135250 158022 162300 175580 202875 219475 243450 263370 270500 316044 395055 405750 438950 486900 526740 608625 658425 790110 811500 877900 1097375 1217250 1316850 1580220 1975275 2194750 2434500 2633700 3292125 3950550 4389500 4749439 6584250 7901100 9498878 9876375 13168500 14248317 18997756 19752750 23747195 28496634 39505500 42744951 47494390 56993268 71241585 85489902 94988780 118735975 142483170 170979804 213724755 237471950 284966340 356207925 427449510 474943900 593679875 712415850 854899020 1068623775 1187359750 1424831700 1781039625 2137247550 2374719500 3562079250 4274495100 5343118875 7124158500 10686237750 21372475500