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21416254000 = 245311819067
BaseRepresentation
bin10011111100100000…
…100001101000110000
32001021112110102111121
4103330200201220300
5322330030112000
613501040352024
71355500104211
oct237440415060
961245412447
1021416254000
11909aa0a679
124198315614
132033c2775b
141072429408
15855271b1a
hex4fc821a30

21416254000 has 80 divisors (see below), whose sum is σ = 51834066336. Its totient is φ = 8558304000.

The previous prime is 21416253913. The next prime is 21416254001. The reversal of 21416254000 is 45261412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21416254001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2357467 + ... + 2366533.

Almost surely, 221416254000 is an apocalyptic number.

21416254000 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 21416254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25917033168).

21416254000 is an abundant number, since it is smaller than the sum of its proper divisors (30417812336).

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

21416254000 is a wasteful number, since it uses less digits than its factorization.

21416254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 21416254000 in words is "twenty-one billion, four hundred sixteen million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1181 2000 2362 4724 5905 9067 9448 11810 18134 18896 23620 29525 36268 45335 47240 59050 72536 90670 94480 118100 145072 147625 181340 226675 236200 295250 362680 453350 472400 590500 725360 906700 1133375 1181000 1813400 2266750 2362000 3626800 4533500 9067000 10708127 18134000 21416254 42832508 53540635 85665016 107081270 171330032 214162540 267703175 428325080 535406350 856650160 1070812700 1338515875 2141625400 2677031750 4283250800 5354063500 10708127000 21416254000