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55445135341504 = 2637432001127211
BaseRepresentation
bin11001001101101010100111…
…00110001011011111000000
321021022111120210221200020211
430212311103212023133000
524231403114121412004
6313531051001043504
714451531066231226
oct1446652346133700
9237274523850224
1055445135341504
11167371714a3077
12627577b786594
1324c25b90a252c
14d997b7772b16
156623c64ee504
hex326d5398b7c0

55445135341504 has 112 divisors (see below), whose sum is σ = 115635438219136. Its totient is φ = 26343738086400.

The previous prime is 55445135341433. The next prime is 55445135341513. The reversal of 55445135341504 is 40514353154455.

55445135341504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×554451353415043 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2037586459 + ... + 2037613669.

Almost surely, 255445135341504 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 55445135341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57817719109568).

55445135341504 is an abundant number, since it is smaller than the sum of its proper divisors (60190302877632).

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

55445135341504 is a wasteful number, since it uses less digits than its factorization.

55445135341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47314 (or 47304 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 49.

Adding to 55445135341504 its reverse (40514353154455), we get a palindrome (95959488495959).

The spelling of 55445135341504 in words is "fifty-five trillion, four hundred forty-five billion, one hundred thirty-five million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 148 172 296 344 592 688 1184 1376 1591 2368 2752 3182 6364 12728 20011 25456 27211 40022 50912 54422 80044 101824 108844 160088 217688 320176 435376 640352 740407 860473 870752 1006807 1170073 1280704 1480814 1720946 1741504 2013614 2340146 2961628 3441892 4027228 4680292 5923256 6883784 8054456 9360584 11846512 13767568 16108912 18721168 23693024 27535136 31837501 32217824 37442336 43292701 47386048 55070272 63675002 64435648 74884672 86585402 127350004 173170804 254700008 346341608 509400016 544519321 692683216 1018800032 1089038642 1385366432 2037600064 2178077284 2770732864 4356154568 8712309136 17424618272 20147214877 23414330803 34849236544 40294429754 46828661606 80588859508 93657323212 161177719016 187314646424 322355438032 374629292848 644710876064 749258585696 866330239711 1289421752128 1498517171392 1732660479422 3465320958844 6930641917688 13861283835376 27722567670752 55445135341504