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200155115664 = 24337128951349
BaseRepresentation
bin1011101001101000101…
…1001011000010010000
3201010122011011101012000
42322122023023002100
511234404202200124
6231541110434000
720314013261160
oct2723213130220
9633564141160
10200155115664
1177981387969
123295b662900
1315b4a4bc6aa
14998a93c5a0
155316db46c9
hex2e9a2cb090

200155115664 has 160 divisors (see below), whose sum is σ = 657115680000. Its totient is φ = 57141697536.

The previous prime is 200155115663. The next prime is 200155115681. The reversal of 200155115664 is 466511551002.

200155115664 is a `hidden beast` number, since 20 + 0 + 15 + 511 + 56 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (200155115663) 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, 3872262 + ... + 3923610.

It is an arithmetic number, because the mean of its divisors is an integer number (4106973000).

Almost surely, 2200155115664 is an apocalyptic number.

200155115664 is a gapful number since it is divisible by the number (24) 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 200155115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328557840000).

200155115664 is an abundant number, since it is smaller than the sum of its proper divisors (456960564336).

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

200155115664 is a wasteful number, since it uses less digits than its factorization.

200155115664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52662 (or 52650 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 200155115664 its reverse (466511551002), we get a palindrome (666666666666).

The spelling of 200155115664 in words is "two hundred billion, one hundred fifty-five million, one hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1289 1512 2578 3024 3867 5156 7734 9023 10312 11601 15468 18046 20624 23202 27069 30936 34803 36092 46404 51349 54138 61872 69606 72184 81207 92808 102698 108276 139212 144368 154047 162414 185616 205396 216552 243621 278424 308094 324828 359443 410792 433104 462141 487242 556848 616188 649656 718886 821584 924282 974484 1078329 1232376 1299312 1386423 1437772 1848564 1948968 2156658 2464752 2772846 2875544 3234987 3697128 3897936 4313316 5545692 5751088 6469974 7394256 8626632 9704961 11091384 12939948 17253264 19409922 22182768 25879896 38819844 51759792 66188861 77639688 132377722 155279376 198566583 264755444 397133166 463322027 529510888 595699749 794266332 926644054 1059021776 1191399498 1389966081 1588532664 1787099247 1853288108 2382798996 2779932162 3177065328 3574198494 3706576216 4169898243 4765597992 5559864324 7148396988 7413152432 8339796486 9531195984 11119728648 12509694729 14296793976 16679592972 22239457296 25019389458 28593587952 33359185944 50038778916 66718371888 100077557832 200155115664