Search a number
-
+
21370685292000 = 25325311197273941
BaseRepresentation
bin1001101101111110000000…
…00110101111110111100000
32210200000110210122211122200
410312333000012233313200
510300114130413321000
6113241320212533200
74333660334535642
oct466770006576740
983600423584580
1021370685292000
11689a290795320
122491947321200
13bc03297b5435
1453c4bd448892
15270d79636500
hex136fc01afde0

21370685292000 has 576 divisors, whose sum is σ = 83159823434688. Its totient is φ = 5154455040000.

The previous prime is 21370685291941. The next prime is 21370685292017. The reversal of 21370685292000 is 29258607312.

21370685292000 is a `hidden beast` number, since 21 + 370 + 6 + 8 + 52 + 9 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77875030 + ... + 78148970.

It is an arithmetic number, because the mean of its divisors is an integer number (144374693463).

Almost surely, 221370685292000 is an apocalyptic number.

21370685292000 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 21370685292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41579911717344).

21370685292000 is an abundant number, since it is smaller than the sum of its proper divisors (61789138142688).

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

21370685292000 is a wasteful number, since it uses less digits than its factorization.

21370685292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274180 (or 274159 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21370685292000 in words is "twenty-one trillion, three hundred seventy billion, six hundred eighty-five million, two hundred ninety-two thousand".