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20823363912000 = 2635313474213373
BaseRepresentation
bin1001011110000010100010…
…01101011000000101000000
32201201200202000220221122110
410233001101031120011000
510212132222130141000
6112142042112135320
74246303240552266
oct457012115300500
981650660827573
1020823363912000
1166a9159078711
12240385a537540
13b80833836ac0
1451dbdb560436
152619e43bd850
hex12f051358140

20823363912000 has 896 divisors, whose sum is σ = 75825470343168. Its totient is φ = 5003292672000.

The previous prime is 20823363911983. The next prime is 20823363912019. The reversal of 20823363912000 is 21936332802.

It is a super-2 number, since 2×208233639120002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20823363912000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6173542314 + ... + 6173545686.

It is an arithmetic number, because the mean of its divisors is an integer number (84626641008).

Almost surely, 220823363912000 is an apocalyptic number.

20823363912000 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 20823363912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37912735171584).

20823363912000 is an abundant number, since it is smaller than the sum of its proper divisors (55002106431168).

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

20823363912000 is a wasteful number, since it uses less digits than its factorization.

20823363912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 20823363912000 in words is "twenty trillion, eight hundred twenty-three billion, three hundred sixty-three million, nine hundred twelve thousand".