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56503731552 = 2531923135209
BaseRepresentation
bin110100100111111000…
…101000010101100000
312101211211201222002020
4310213320220111200
51411204423402202
641542451021440
74040133536142
oct644770502540
9171754658066
1056503731552
1121a65979904
12ab4ab9a880
1354362c91a8
142a403c6c92
15170a8315bc
hexd27e28560

56503731552 has 144 divisors (see below), whose sum is σ = 157069871280. Its totient is φ = 17782861824.

The previous prime is 56503731463. The next prime is 56503731617. The reversal of 56503731552 is 25513730565.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10844724 + ... + 10849932.

It is an arithmetic number, because the mean of its divisors is an integer number (1090762995).

Almost surely, 256503731552 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 56503731552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78534935640).

56503731552 is an abundant number, since it is smaller than the sum of its proper divisors (100566139728).

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

56503731552 is a wasteful number, since it uses less digits than its factorization.

56503731552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 42.

The spelling of 56503731552 in words is "fifty-six billion, five hundred three million, seven hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 313 361 456 608 626 722 912 939 1083 1252 1444 1824 1878 2166 2504 2888 3756 4332 5008 5209 5776 5947 7512 8664 10016 10418 11552 11894 15024 15627 17328 17841 20836 23788 30048 31254 34656 35682 41672 47576 62508 71364 83344 95152 98971 112993 125016 142728 166688 190304 197942 225986 250032 285456 296913 338979 395884 451972 500064 570912 593826 677958 791768 903944 1187652 1355916 1583536 1630417 1807888 1880449 2375304 2711832 3167072 3260834 3615776 3760898 4750608 4891251 5423664 5641347 6521668 7521796 9501216 9782502 10847328 11282694 13043336 15043592 19565004 22565388 26086672 30087184 30977923 39130008 45130776 52173344 60174368 61955846 78260016 90261552 92933769 123911692 156520032 180523104 185867538 247823384 371735076 495646768 588580537 743470152 991293536 1177161074 1486940304 1765741611 2354322148 2973880608 3531483222 4708644296 7062966444 9417288592 14125932888 18834577184 28251865776 56503731552