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21474836160 = 263527318191
BaseRepresentation
bin10011111111111111…
…111111111011000000
32001102121200201010020
4103333333333323000
5322440024224120
613510532133440
71360111044531
oct237777777300
961377621106
1021474836160
11911aa92288
1241b3a67280
1320430c925b
14107a118688
1585a494640
hex4fffffec0

21474836160 has 112 divisors (see below), whose sum is σ = 68215898112. Its totient is φ = 5723827200.

The previous prime is 21474836147. The next prime is 21474836171. The reversal of 21474836160 is 6163847412.

It is a super-2 number, since 2×214748361602 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 2617665 + ... + 2625855.

Almost surely, 221474836160 is an apocalyptic number.

21474836160 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 21474836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34107949056).

21474836160 is an abundant number, since it is smaller than the sum of its proper divisors (46741061952).

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

21474836160 is a wasteful number, since it uses less digits than its factorization.

21474836160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10942 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 21474836160 in words is "twenty-one billion, four hundred seventy-four million, eight hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2731 5462 8191 8193 10924 13655 16382 16386 21848 24573 27310 32764 32772 40955 40965 43696 49146 54620 65528 65544 81910 81930 87392 98292 109240 122865 131056 131088 163820 163860 174784 196584 218480 245730 262112 262176 327640 327720 393168 436960 491460 524224 524352 655280 655440 786336 873920 982920 1310560 1310880 1572672 1965840 2621120 2621760 3931680 7863360 22369621 44739242 67108863 89478484 111848105 134217726 178956968 223696210 268435452 335544315 357913936 447392420 536870904 671088630 715827872 894784840 1073741808 1342177260 1431655744 1789569680 2147483616 2684354520 3579139360 4294967232 5368709040 7158278720 10737418080 21474836160