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41287597056 = 2103219235789
BaseRepresentation
bin100110011100111011…
…101011110000000000
310221120101220020121100
4212130323223300000
51134024111101211
630544532254400
72661100533036
oct463473536000
9127511806540
1041287597056
1116567854842
128003171400
133b7ca67004
141dd95c0556
151119a77156
hex99ceebc00

41287597056 has 132 divisors (see below), whose sum is σ = 125492153800. Its totient is φ = 13038133248.

The previous prime is 41287597049. The next prime is 41287597081. The reversal of 41287597056 is 65079578214.

41287597056 is a `hidden beast` number, since 41 + 2 + 8 + 7 + 597 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41287596993 and 41287597011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57210 + ... + 292998.

Almost surely, 241287597056 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 41287597056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62746076900).

41287597056 is an abundant number, since it is smaller than the sum of its proper divisors (84204556744).

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

41287597056 is a wasteful number, since it uses less digits than its factorization.

41287597056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235834 (or 235813 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 41287597056 in words is "forty-one billion, two hundred eighty-seven million, five hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2304 2432 2736 3072 3648 4608 4864 5472 7296 9216 9728 10944 14592 19456 21888 29184 43776 58368 87552 175104 235789 471578 707367 943156 1414734 1886312 2122101 2829468 3772624 4244202 4479991 5658936 7545248 8488404 8959982 11317872 13439973 15090496 16976808 17919964 22635744 26879946 30180992 33953616 35839928 40319919 45271488 53759892 60361984 67907232 71679856 80639838 90542976 107519784 120723968 135814464 143359712 161279676 181085952 215039568 241447936 271628928 286719424 322559352 362171904 430079136 543257856 573438848 645118704 724343808 860158272 1086515712 1146877696 1290237408 1720316544 2173031424 2293755392 2580474816 3440633088 4587510784 5160949632 6881266176 10321899264 13762532352 20643798528 41287597056