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11723430880 = 255721414889
BaseRepresentation
bin10101110101100010…
…10101101111100000
31010021000200222211201
422322301111233200
5143002144242010
65215145450544
7563342342530
oct127261255740
933230628751
1011723430880
114a76631157
1223321a0a54
13114aa7b965
147d2dc74c0
1548933e23a
hex2bac55be0

11723430880 has 96 divisors (see below), whose sum is σ = 31674525120. Its totient is φ = 4016762880.

The previous prime is 11723430847. The next prime is 11723430889. The reversal of 11723430880 is 8803432711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11723430889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2395476 + ... + 2400364.

It is an arithmetic number, because the mean of its divisors is an integer number (329942970).

Almost surely, 211723430880 is an apocalyptic number.

11723430880 is a gapful number since it is divisible by the number (10) 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 11723430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15837262560).

11723430880 is an abundant number, since it is smaller than the sum of its proper divisors (19951094240).

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

11723430880 is a wasteful number, since it uses less digits than its factorization.

11723430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 11723430880 in words is "eleven billion, seven hundred twenty-three million, four hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2141 4282 4889 8564 9778 10705 14987 17128 19556 21410 24445 29974 34223 34256 39112 42820 48890 59948 68446 68512 74935 78224 85640 97780 119896 136892 149870 156448 171115 171280 195560 239792 273784 299740 342230 342560 391120 479584 547568 599480 684460 782240 1095136 1198960 1368920 2397920 2737840 5475680 10467349 20934698 41869396 52336745 73271443 83738792 104673490 146542886 167477584 209346980 293085772 334955168 366357215 418693960 586171544 732714430 837387920 1172343088 1465428860 1674775840 2344686176 2930857720 5861715440 11723430880