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8101036369920 = 211351341948413
BaseRepresentation
bin111010111100010101101…
…1001010010100000000000
31001200110012011010210101010
41311320223121102200000
52030211410302314140
625121321552040520
71464165142664334
oct165705331224000
931613164123333
108101036369920
1126436a29233aa
12aaa050833140
13469c03036230
142001411d77c4
15e0ad7167880
hex75e2b652800

8101036369920 has 384 divisors, whose sum is σ = 27977792169600. Its totient is φ = 1989300977664.

The previous prime is 8101036369919. The next prime is 8101036369927. The reversal of 8101036369920 is 299636301018.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×81010363699202 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8101036369920.

It is not an unprimeable number, because it can be changed into a prime (8101036369927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167307634 + ... + 167356046.

It is an arithmetic number, because the mean of its divisors is an integer number (72858833775).

Almost surely, 28101036369920 is an apocalyptic number.

8101036369920 is a gapful number since it is divisible by the number (80) 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 8101036369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988896084800).

8101036369920 is an abundant number, since it is smaller than the sum of its proper divisors (19876755799680).

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

8101036369920 is a wasteful number, since it uses less digits than its factorization.

8101036369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48875 (or 48855 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 8101036369920 in words is "eight trillion, one hundred one billion, thirty-six million, three hundred sixty-nine thousand, nine hundred twenty".