Search a number
-
+
20356671440 = 2457191913221
BaseRepresentation
bin10010111101010110…
…100010011111010000
31221112200200001111002
4102331112202133100
5313142301441230
613203550041132
71320312565220
oct227526423720
957480601432
1020356671440
1186a68a0606
123b414a91a8
131bc5558621
14db180c080
157e2221545
hex4bd5a27d0

20356671440 has 80 divisors (see below), whose sum is σ = 56937486720. Its totient is φ = 6612088320.

The previous prime is 20356671397. The next prime is 20356671469. The reversal of 20356671440 is 4417665302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×203566714402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 20356671394 and 20356671403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945971 + ... + 967250.

It is an arithmetic number, because the mean of its divisors is an integer number (711718584).

Almost surely, 220356671440 is an apocalyptic number.

20356671440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20356671440 is an abundant number, since it is smaller than the sum of its proper divisors (36580815280).

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

20356671440 is a wasteful number, since it uses less digits than its factorization.

20356671440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913260 (or 1913254 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 20356671440 in words is "twenty billion, three hundred fifty-six million, six hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 1913221 3826442 7652884 9566105 13392547 15305768 19132210 26785094 30611536 36351199 38264420 53570188 66962735 72702398 76528840 107140376 133925470 145404796 153057680 181755995 214280752 254458393 267850940 290809592 363511990 508916786 535701880 581619184 727023980 1017833572 1071403760 1272291965 1454047960 2035667144 2544583930 2908095920 4071334288 5089167860 10178335720 20356671440