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55640850432 = 2183139509
BaseRepresentation
bin110011110100011101…
…000000000000000000
312022121201002001201020
4303310131000000000
51402423024203212
641321104305440
74006555265556
oct636435000000
9168551061636
1055640850432
112166289a512
12a94a012280
1353295cab4b
14299b96dbd6
1516a9bd7d8c
hexcf4740000

55640850432 has 152 divisors (see below), whose sum is σ = 149736367200. Its totient is φ = 18377342976.

The previous prime is 55640850413. The next prime is 55640850437. The reversal of 55640850432 is 23405804655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55640850437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109313794 + ... + 109314302.

Almost surely, 255640850432 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 55640850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74868183600).

55640850432 is an abundant number, since it is smaller than the sum of its proper divisors (94095516768).

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

55640850432 is an frugal number, since it uses more digits than its factorization.

55640850432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 55640850432 in words is "fifty-five billion, six hundred forty million, eight hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 509 512 556 768 834 1018 1024 1112 1527 1536 1668 2036 2048 2224 3054 3072 3336 4072 4096 4448 6108 6144 6672 8144 8192 8896 12216 12288 13344 16288 16384 17792 24432 24576 26688 32576 32768 35584 48864 49152 53376 65152 65536 70751 71168 97728 98304 106752 130304 131072 141502 142336 195456 196608 212253 213504 260608 262144 283004 284672 390912 393216 424506 427008 521216 566008 569344 781824 786432 849012 854016 1042432 1132016 1138688 1563648 1698024 1708032 2084864 2264032 2277376 3127296 3396048 3416064 4169728 4528064 4554752 6254592 6792096 6832128 8339456 9056128 9109504 12509184 13584192 13664256 16678912 18112256 18219008 25018368 27168384 27328512 33357824 36224512 36438016 50036736 54336768 54657024 66715648 72449024 100073472 108673536 109314048 133431296 144898048 200146944 217347072 289796096 400293888 434694144 579592192 869388288 1159184384 1738776576 2318368768 3477553152 4636737536 6955106304 9273475072 13910212608 18546950144 27820425216 55640850432