Search a number
-
+
11875083030 = 2335193762563
BaseRepresentation
bin10110000111100111…
…10110001100010110
31010122121001201111000
423003303312030112
5143310010124110
65242204124130
7600163353216
oct130363661426
933577051430
1011875083030
1150441a1708
122374b36646
131173308865
148091c2246
154977e81c0
hex2c3cf6316

11875083030 has 128 divisors (see below), whose sum is σ = 34235020800. Its totient is φ = 2918892672.

The previous prime is 11875083029. The next prime is 11875083037. The reversal of 11875083030 is 3038057811.

11875083030 is a `hidden beast` number, since 11 + 87 + 508 + 30 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11875083037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158529 + ... + 221091.

It is an arithmetic number, because the mean of its divisors is an integer number (267461100).

Almost surely, 211875083030 is an apocalyptic number.

11875083030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11875083030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117510400).

11875083030 is an abundant number, since it is smaller than the sum of its proper divisors (22359937770).

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

11875083030 is a wasteful number, since it uses less digits than its factorization.

11875083030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62635 (or 62629 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11875083030 in words is "eleven billion, eight hundred seventy-five million, eighty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 37 38 45 54 57 74 90 95 111 114 135 171 185 190 222 270 285 333 342 370 513 555 570 666 703 855 999 1026 1110 1406 1665 1710 1998 2109 2565 3330 3515 4218 4995 5130 6327 7030 9990 10545 12654 18981 21090 31635 37962 62563 63270 94905 125126 187689 189810 312815 375378 563067 625630 938445 1126134 1188697 1689201 1876890 2314831 2377394 2815335 3378402 3566091 4629662 5630670 5943485 6944493 7132182 8446005 10698273 11574155 11886970 13888986 16892010 17830455 20833479 21396546 23148310 32094819 34722465 35660910 41666958 43981789 53491365 62500437 64189638 69444930 87963578 104167395 106982730 125000874 131945367 160474095 208334790 219908945 263890734 312502185 320948190 395836101 439817890 625004370 659726835 791672202 1187508303 1319453670 1979180505 2375016606 3958361010 5937541515 11875083030