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54806998032 = 2433672836691
BaseRepresentation
bin110011000010110000…
…000110110000010000
312020110121000222021000
4303002300012300100
51344221042414112
641102240102000
73650111540163
oct630260066020
9166417028230
1054806998032
11212751378a6
12a756904900
135225924667
14291cd11ada
15165b8c57dc
hexcc2c06c10

54806998032 has 160 divisors (see below), whose sum is σ = 160252520960. Its totient is φ = 17930056320.

The previous prime is 54806998021. The next prime is 54806998033. The reversal of 54806998032 is 23089960845.

54806998032 is a `hidden beast` number, since 548 + 0 + 6 + 9 + 98 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 54806998032.

It is not an unprimeable number, because it can be changed into a prime (54806998033) 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, 8187807 + ... + 8194497.

It is an arithmetic number, because the mean of its divisors is an integer number (1001578256).

Almost surely, 254806998032 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 54806998032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80126260480).

54806998032 is an abundant number, since it is smaller than the sum of its proper divisors (105445522928).

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

54806998032 is a wasteful number, since it uses less digits than its factorization.

54806998032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 54806998032 in words is "fifty-four billion, eight hundred six million, nine hundred ninety-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 283 402 432 536 566 603 804 849 1072 1132 1206 1608 1698 1809 2264 2412 2547 3216 3396 3618 4528 4824 5094 6691 6792 7236 7641 9648 10188 13382 13584 14472 15282 18961 20073 20376 26764 28944 30564 37922 40146 40752 53528 56883 60219 61128 75844 80292 107056 113766 120438 122256 151688 160584 170649 180657 227532 240876 303376 321168 341298 361314 448297 455064 481752 511947 682596 722628 896594 910128 963504 1023894 1344891 1365192 1445256 1793188 1893553 2047788 2689782 2730384 2890512 3586376 3787106 4034673 4095576 5379564 5680659 7172752 7574212 8069346 8191152 10759128 11361318 12104019 15148424 16138692 17041977 21518256 22722636 24208038 30296848 32277384 34083954 45445272 48416076 51125931 64554768 68167908 90890544 96832152 102251862 126868051 136335816 193664304 204503724 253736102 272671632 380604153 409007448 507472204 761208306 818014896 1014944408 1141812459 1522416612 2029888816 2283624918 3044833224 3425437377 4567249836 6089666448 6850874754 9134499672 13701749508 18268999344 27403499016 54806998032