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67745727552 = 2631931875827
BaseRepresentation
bin111111000101111101…
…011100010001000000
320110212022112112102110
4333011331130101000
52102220401240202
651042202015320
74615542116526
oct770575342100
9213768475373
1067745727552
1126804773898
1211167aa7540
1365083c3029
1433c948c316
151b6777326c
hexfc5f5c440

67745727552 has 112 divisors (see below), whose sum is σ = 188769386240. Its totient is φ = 21383004672.

The previous prime is 67745727529. The next prime is 67745727557. The reversal of 67745727552 is 25572754776.

It is a happy number.

67745727552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 67745727492 and 67745727501.

It is not an unprimeable number, because it can be changed into a prime (67745727557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11623263 + ... + 11629089.

Almost surely, 267745727552 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 67745727552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94384693120).

67745727552 is an abundant number, since it is smaller than the sum of its proper divisors (121023658688).

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

67745727552 is a wasteful number, since it uses less digits than its factorization.

67745727552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9048 (or 9038 counting only the distinct ones).

The product of its digits is 28812000, while the sum is 57.

The spelling of 67745727552 in words is "sixty-seven billion, seven hundred forty-five million, seven hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3187 3648 5827 6374 9561 11654 12748 17481 19122 23308 25496 34962 38244 46616 50992 60553 69924 76488 93232 101984 110713 121106 139848 152976 181659 186464 203968 221426 242212 279696 305952 332139 363318 372928 442852 484424 559392 611904 664278 726636 885704 968848 1118784 1328556 1453272 1771408 1937696 2657112 2906544 3542816 3875392 5314224 5813088 7085632 10628448 11626176 18570649 21256896 37141298 55711947 74282596 111423894 148565192 222847788 297130384 352842331 445695576 594260768 705684662 891391152 1058526993 1188521536 1411369324 1782782304 2117053986 2822738648 3565564608 4234107972 5645477296 8468215944 11290954592 16936431888 22581909184 33872863776 67745727552