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54961131920 = 2451740412597
BaseRepresentation
bin110011001011111100…
…000101000110010000
312020212100001210012112
4303023330011012100
51400030022210140
641125423444452
73653662625132
oct631374050620
9166770053175
1054961131920
1121344142982
12a79a456728
13524b840046
142935595052
15166a1bec65
hexccbf05190

54961131920 has 40 divisors (see below), whose sum is σ = 135301378104. Its totient is φ = 20691249152.

The previous prime is 54961131899. The next prime is 54961131991. The reversal of 54961131920 is 2913116945.

It can be written as a sum of positive squares in 4 ways, for example, as 16515334144 + 38445797776 = 128512^2 + 196076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20204939 + ... + 20207658.

Almost surely, 254961131920 is an apocalyptic number.

It is an amenable number.

54961131920 is an abundant number, since it is smaller than the sum of its proper divisors (80340246184).

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

54961131920 is a wasteful number, since it uses less digits than its factorization.

54961131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40412627 (or 40412621 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The spelling of 54961131920 in words is "fifty-four billion, nine hundred sixty-one million, one hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 40412597 80825194 161650388 202062985 323300776 404125970 646601552 687014149 808251940 1374028298 1616503880 2748056596 3233007760 3435070745 5496113192 6870141490 10992226384 13740282980 27480565960 54961131920