Search a number
-
+
20152611375556 = 2211241924872
BaseRepresentation
bin1001001010100001001010…
…01111100000100111000100
32122100120102010200122100111
410211100211033200213010
510120140022003004211
6110505552025322404
74146656332222642
oct445204517404704
978316363618314
1020152611375556
11646a746820300
122315864936404
13b324c9889b1a
144d956a772192
1524e337d41421
hex1254253e09c4

20152611375556 has 81 divisors (see below), whose sum is σ = 38937321477327. Its totient is φ = 9119650945680.

The previous prime is 20152611375497. The next prime is 20152611375607. The reversal of 20152611375556 is 65557311625102.

The square root of 20152611375556 is 4489166.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×201526113755562 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41381131945 + ... + 41381132431.

Almost surely, 220152611375556 is an apocalyptic number.

20152611375556 is the 4489166-th square number.

It is an amenable number.

20152611375556 is a deficient number, since it is larger than the sum of its proper divisors (18784710101771).

20152611375556 is an frugal number, since it uses more digits than its factorization.

20152611375556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 49.

Multiplying 20152611375556 by its sum of digits (49), we get a square (987477957402244 = 314241622).

The spelling of 20152611375556 in words is "twenty trillion, one hundred fifty-two billion, six hundred eleven million, three hundred seventy-five thousand, five hundred fifty-six".

Divisors: 1 2 4 11 22 44 121 242 419 484 487 838 974 1676 1948 4609 5357 9218 10714 18436 21428 50699 58927 101398 117854 175561 202796 204053 235708 237169 351122 408106 474338 702244 816212 948676 1931171 2244583 2608859 3862342 4489166 5217718 7724684 8978332 10435436 21242881 24690413 28697449 42485762 49380826 57394898 84971524 85498207 98761652 99373811 114789796 170996414 198747622 341992828 397495244 940480277 1093111921 1880960554 2186223842 3761921108 4372447684 10345283047 12024231131 20690566094 24048462262 41381132188 41637626809 48096924524 83275253618 166550507236 458013894899 916027789798 1832055579596 5038152843889 10076305687778 20152611375556