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211307977188 = 2232711232294969
BaseRepresentation
bin1100010011001011101…
…1111101100111100100
3202012102102020110000100
43010302323331213210
511430224320232223
6241023515144100
721160260112350
oct3046273754744
9665372213010
10211307977188
11816849318a0
1234b52745030
1316c06ca8539
14a327c40460
15576b09b043
hex3132efd9e4

211307977188 has 432 divisors, whose sum is σ = 720303292800. Its totient is φ = 50678369280.

The previous prime is 211307977163. The next prime is 211307977219. The reversal of 211307977188 is 881779703112.

It is a super-2 number, since 2×2113079771882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42522768 + ... + 42527736.

Almost surely, 2211307977188 is an apocalyptic number.

211307977188 is a gapful number since it is divisible by the number (28) 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 211307977188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360151646400).

211307977188 is an abundant number, since it is smaller than the sum of its proper divisors (508995315612).

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

211307977188 is a wasteful number, since it uses less digits than its factorization.

211307977188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 211307977188 in words is "two hundred eleven billion, three hundred seven million, nine hundred seventy-seven thousand, one hundred eighty-eight".