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11900781962001 = 3211499172
BaseRepresentation
bin1010110100101101110111…
…1000011010001100010001
31120010200222221211112202100
42231023131320122030101
53024440300140241001
641151051015111013
72335542320422422
oct255133570321421
946120887745670
1011900781962001
11387910318a399
12140254b972469
13684314bb896a
142d200274d649
15159877698586
hexad2dde1a311

11900781962001 has 9 divisors (see below), whose sum is σ = 17190033338491. Its totient is φ = 7933847741832.

The previous prime is 11900781961969. The next prime is 11900781962009. The reversal of 11900781962001 is 10026918700911.

It is a happy number.

The square root of 11900781962001 is 3449751.

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

11900781962001 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 0 + 7 + 8 + 19 + 620 + 0 + 1 = 666.

11900781962001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7730707572225 + 4170074389776 = 2780415^2 + 2042076^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11900781962001 - 25 = 11900781961969 is a prime.

It is a super-2 number, since 2×119007819620012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11900781962009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9774295 + ... + 10924211.

Almost surely, 211900781962001 is an apocalyptic number.

11900781962001 is the 3449751-st square number.

11900781962001 is the 1724876-th centered octagonal number.

It is an amenable number.

11900781962001 is a deficient number, since it is larger than the sum of its proper divisors (5289251376490).

11900781962001 is an frugal number, since it uses more digits than its factorization.

11900781962001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299840 (or 1149920 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 11900781962001 in words is "eleven trillion, nine hundred billion, seven hundred eighty-one million, nine hundred sixty-two thousand, one".

Divisors: 1 3 9 1149917 3449751 10349253 1322309106889 3966927320667 11900781962001