Search a number
-
+
21701378040552 = 23327195773927601
BaseRepresentation
bin1001110111100101111101…
…11011011110001011101000
32211211122001100102001010200
410323302332323132023220
510321023410234244202
6114053250410112200
74366605243530250
oct473627673361350
984748040361120
1021701378040552
116a07559171911
122525a5771b660
13c1557b379a02
145504d0a02960
1527978165ce1c
hex13bcbeede2e8

21701378040552 has 192 divisors, whose sum is σ = 70828803427200. Its totient is φ = 5863875379200.

The previous prime is 21701378040541. The next prime is 21701378040581. The reversal of 21701378040552 is 25504087310712.

21701378040552 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 13 + 7 + 80 + 4 + 0 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21701378040498 and 21701378040507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3561552 + ... + 7489152.

It is an arithmetic number, because the mean of its divisors is an integer number (368900017850).

Almost surely, 221701378040552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21701378040552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414401713600).

21701378040552 is an abundant number, since it is smaller than the sum of its proper divisors (49127425386648).

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

21701378040552 is a wasteful number, since it uses less digits than its factorization.

21701378040552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928216 (or 3928209 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 21701378040552 in words is "twenty-one trillion, seven hundred one billion, three hundred seventy-eight million, forty thousand, five hundred fifty-two".