Search a number
-
+
20054356462368 = 25322638812
BaseRepresentation
bin1001000111101010001001…
…10010110000101100100000
32122000011210120201220011200
410203311010302300230200
510112032310223243433
6110352502201441200
74136610435232044
oct443650462605440
978004716656150
1020054356462368
116432006452808
1222ba8034a0200
13b2616b781937
144d48c93b2024
1524b9d6e14613
hex123d44cb0b20

20054356462368 has 54 divisors (see below), whose sum is σ = 57029792309217. Its totient is φ = 6684760154880.

The previous prime is 20054356462339. The next prime is 20054356462373. The reversal of 20054356462368 is 86326465345002.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20054356462368 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 4 + 3 + 5 + 6 + 4 + 623 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14757491036304 + 5296865426064 = 3841548^2 + 2301492^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3166572.

It is a super-3 number, since 3×200543564623683 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75865788 + ... + 76129668.

Almost surely, 220054356462368 is an apocalyptic number.

It is an amenable number.

20054356462368 is an abundant number, since it is smaller than the sum of its proper divisors (36975435846849).

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

20054356462368 is an frugal number, since it uses more digits than its factorization.

20054356462368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527778 (or 263886 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 20054356462368 in words is "twenty trillion, fifty-four billion, three hundred fifty-six million, four hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 263881 527762 791643 1055524 1583286 2111048 2374929 3166572 4222096 4749858 6333144 8444192 9499716 12666288 18999432 25332576 37998864 75997728 69633182161 139266364322 208899546483 278532728644 417799092966 557065457288 626698639449 835598185932 1114130914576 1253397278898 1671196371864 2228261829152 2506794557796 3342392743728 5013589115592 6684785487456 10027178231184 20054356462368