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55064745840 = 24351323517507
BaseRepresentation
bin110011010010000111…
…010101011101110000
312021010120000220210010
4303102013111131300
51400233033331330
641144004334520
73656361421416
oct632207253560
9167116026703
1055064745840
1121397682615
12a8090a4440
13526714a760
1429452472b6
15167433a3b0
hexcd21d5770

55064745840 has 160 divisors (see below), whose sum is σ = 183934227456. Its totient is φ = 13546828800.

The previous prime is 55064745829. The next prime is 55064745863. The reversal of 55064745840 is 4854746055.

55064745840 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55064745840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7331367 + ... + 7338873.

Almost surely, 255064745840 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 55064745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91967113728).

55064745840 is an abundant number, since it is smaller than the sum of its proper divisors (128869481616).

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

55064745840 is a wasteful number, since it uses less digits than its factorization.

55064745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9887 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 55064745840 in words is "fifty-five billion, sixty-four million, seven hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2351 3120 4702 7053 7507 9404 11755 14106 15014 18808 22521 23510 28212 30028 30563 35265 37535 37616 45042 47020 56424 60056 61126 70530 75070 90084 91689 94040 97591 112605 112848 120112 122252 141060 150140 152815 180168 183378 188080 195182 225210 244504 282120 292773 300280 305630 360336 366756 390364 450420 458445 487955 489008 564240 585546 600560 611260 733512 780728 900840 916890 975910 1171092 1222520 1463865 1467024 1561456 1801680 1833780 1951820 2342184 2445040 2927730 3667560 3903640 4684368 5855460 7335120 7807280 11710920 17648957 23421840 35297914 52946871 70595828 88244785 105893742 141191656 176489570 211787484 229436441 264734355 282383312 352979140 423574968 458872882 529468710 688309323 705958280 847149936 917745764 1058937420 1147182205 1376618646 1411916560 1835491528 2117874840 2294364410 2753237292 3441546615 3670983056 4235749680 4588728820 5506474584 6883093230 9177457640 11012949168 13766186460 18354915280 27532372920 55064745840