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554663664640 = 2105231146877
BaseRepresentation
bin10000001001001001000…
…01111101110000000000
31222000200110112121001101
420010210201331300000
533041422344232030
61102450423144144
755034040234121
oct10044441756000
91860613477041
10554663664640
111a42601a6848
128b5b78a5054
13403c6168a77
141cbbb0a4048
15e664b447ca
hex812487dc00

554663664640 has 88 divisors (see below), whose sum is σ = 1331146937952. Its totient is φ = 221764730880.

The previous prime is 554663664631. The next prime is 554663664641. The reversal of 554663664640 is 46466366455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554663664641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11808882 + ... + 11855758.

Almost surely, 2554663664640 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 554663664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665573468976).

554663664640 is an abundant number, since it is smaller than the sum of its proper divisors (776483273312).

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

554663664640 is a wasteful number, since it uses less digits than its factorization.

554663664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49213 (or 49195 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 55.

The spelling of 554663664640 in words is "five hundred fifty-four billion, six hundred sixty-three million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2311 2560 4622 5120 9244 11555 18488 23110 36976 46220 46877 73952 92440 93754 147904 184880 187508 234385 295808 369760 375016 468770 591616 739520 750032 937540 1183232 1479040 1500064 1875080 2366464 2958080 3000128 3750160 5916160 6000256 7500320 11832320 12000512 15000640 24001024 30001280 48002048 60002560 108332747 120005120 216665494 240010240 433330988 541663735 866661976 1083327470 1733323952 2166654940 3466647904 4333309880 6933295808 8666619760 13866591616 17333239520 27733183232 34666479040 55466366464 69332958080 110932732928 138665916160 277331832320 554663664640