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21425318908900 = 2252738233566191
BaseRepresentation
bin1001101111100011110001…
…00001011101001111100100
32210212020111022110010201021
410313301320201131033210
510302013023120041100
6113322353340540524
74340633242605604
oct467617041351744
983766438403637
1021425318908900
116910476a70325
1224a0453b51744
13bc55255127ba
14540dc3306c04
152724c5baea1a
hex137c7885d3e4

21425318908900 has 72 divisors (see below), whose sum is σ = 47187110776064. Its totient is φ = 8442455558400.

The previous prime is 21425318908897. The next prime is 21425318908907. The reversal of 21425318908900 is 980981352412.

It is not an unprimeable number, because it can be changed into a prime (21425318908907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4224805 + ... + 7790995.

Almost surely, 221425318908900 is an apocalyptic number.

21425318908900 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 21425318908900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23593555388032).

21425318908900 is an abundant number, since it is smaller than the sum of its proper divisors (25761791867164).

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

21425318908900 is a wasteful number, since it uses less digits than its factorization.

21425318908900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567101 (or 3567094 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 21425318908900 in words is "twenty-one trillion, four hundred twenty-five billion, three hundred eighteen million, nine hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 823 1460 1646 1825 3292 3650 4115 7300 8230 16460 20575 41150 60079 82300 120158 240316 300395 600790 1201580 1501975 3003950 3566191 6007900 7132382 14264764 17830955 35661910 71323820 89154775 178309550 260331943 356619100 520663886 1041327772 1301659715 2603319430 2934975193 5206638860 5869950386 6508298575 11739900772 13016597150 14674875965 26033194300 29349751930 58699503860 73374379825 146748759650 214253189089 293497519300 428506378178 857012756356 1071265945445 2142531890890 4285063781780 5356329727225 10712659454450 21425318908900