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1966428552 = 23311411391307
BaseRepresentation
bin111010100110101…
…0101000110001000
312002001011220212010
41311031111012020
513011401203202
6523043215520
766505236564
oct16515250610
95061156763
101966428552
11919aa7970
1246a6775a0
132545218ba
1414923a6a4
15b798076c
hex75355188

1966428552 has 128 divisors (see below), whose sum is σ = 5537548800. Its totient is φ = 576729600.

The previous prime is 1966428551. The next prime is 1966428623. The reversal of 1966428552 is 2558246691.

It is not an unprimeable number, because it can be changed into a prime (1966428551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503883 + ... + 1505189.

It is an arithmetic number, because the mean of its divisors is an integer number (43262100).

Almost surely, 21966428552 is an apocalyptic number.

1966428552 is a gapful number since it is divisible by the number (12) 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 1966428552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768774400).

1966428552 is an abundant number, since it is smaller than the sum of its proper divisors (3571120248).

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

1966428552 is a wasteful number, since it uses less digits than its factorization.

1966428552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1503 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 1966428552 is about 44344.4309017491. The cubic root of 1966428552 is about 1252.8316715585.

The spelling of 1966428552 in words is "one billion, nine hundred sixty-six million, four hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 139 164 246 264 278 328 417 451 492 556 834 902 984 1112 1307 1353 1529 1668 1804 2614 2706 3058 3336 3608 3921 4587 5228 5412 5699 6116 7842 9174 10456 10824 11398 12232 14377 15684 17097 18348 22796 28754 31368 34194 36696 43131 45592 53587 57508 62689 68388 86262 107174 115016 125378 136776 160761 172524 181673 188067 214348 250756 321522 345048 363346 376134 428696 501512 545019 589457 643044 726692 752268 1090038 1178914 1286088 1453384 1504536 1768371 1998403 2180076 2357828 3536742 3996806 4360152 4715656 5995209 7073484 7448593 7993612 11990418 14146968 14897186 15987224 22345779 23980836 29794372 44691558 47961672 59588744 81934523 89383116 163869046 178766232 245803569 327738092 491607138 655476184 983214276 1966428552