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536540650440 = 233547239398039
BaseRepresentation
bin1111100111011000101…
…00001001101111001000
31220021220102220002021020
413303230110021233020
532242313401303230
61050252224112440
753522656165044
oct7635424115710
91807812802236
10536540650440
11197600233a63
1287b9a465720
133b7985c7622
141bd7c1b5024
15de53a8c810
hex7cec509bc8

536540650440 has 128 divisors (see below), whose sum is σ = 1650751488000. Its totient is φ = 139447040768.

The previous prime is 536540650391. The next prime is 536540650453. The reversal of 536540650440 is 44056045635.

It is a junction number, because it is equal to n+sod(n) for n = 536540650392 and 536540650401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148941 + ... + 1546979.

It is an arithmetic number, because the mean of its divisors is an integer number (12896496000).

Almost surely, 2536540650440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536540650440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825375744000).

536540650440 is an abundant number, since it is smaller than the sum of its proper divisors (1114210837560).

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

536540650440 is a wasteful number, since it uses less digits than its factorization.

536540650440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398339 (or 398335 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 536540650440 in words is "five hundred thirty-six billion, five hundred forty million, six hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 239 282 376 470 478 564 705 717 940 956 1128 1195 1410 1434 1880 1912 2390 2820 2868 3585 4780 5640 5736 7170 9560 11233 14340 22466 28680 33699 44932 56165 67398 89864 112330 134796 168495 224660 269592 336990 398039 449320 673980 796078 1194117 1347960 1592156 1990195 2388234 3184312 3980390 4776468 5970585 7960780 9552936 11941170 15921560 18707833 23882340 37415666 47764680 56123499 74831332 93539165 95131321 112246998 149662664 187078330 190262642 224493996 280617495 285393963 374156660 380525284 448987992 475656605 561234990 570787926 748313320 761050568 951313210 1122469980 1141575852 1426969815 1902626420 2244939960 2283151704 2853939630 3805252840 4471172087 5707879260 8942344174 11415758520 13413516261 17884688348 22355860435 26827032522 35769376696 44711720870 53654065044 67067581305 89423441740 107308130088 134135162610 178846883480 268270325220 536540650440