Search a number
-
+
30026137155336 = 233275971103138077
BaseRepresentation
bin1101101001111000000010…
…01111010011011100001000
310221022110201010100211011100
412310330001033103130020
512413422012102432321
6143505452245101400
76216213445503240
oct664740117233410
9127273633324140
1030026137155336
11962701670a783
12344b3246b7860
13139a5b643523a
1475b3b6784b20
153710ae721326
hex1b4f013d3708

30026137155336 has 384 divisors, whose sum is σ = 96775666790400. Its totient is φ = 8233924769280.

The previous prime is 30026137155283. The next prime is 30026137155341. The reversal of 30026137155336 is 63355173162003.

30026137155336 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 61 + 3 + 7 + 1 + 553 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30026137155291 and 30026137155300.

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, 217390330 + ... + 217528406.

It is an arithmetic number, because the mean of its divisors is an integer number (252019965600).

Almost surely, 230026137155336 is an apocalyptic number.

30026137155336 is a gapful number since it is divisible by the number (36) 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 30026137155336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48387833395200).

30026137155336 is an abundant number, since it is smaller than the sum of its proper divisors (66749529635064).

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

30026137155336 is a wasteful number, since it uses less digits than its factorization.

30026137155336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138329 (or 138322 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 30026137155336 in words is "thirty trillion, twenty-six billion, one hundred thirty-seven million, one hundred fifty-five thousand, three hundred thirty-six".