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55360282164 = 22311712271307
BaseRepresentation
bin110011100011101110…
…101101111000110100
312021220011010201101220
4303203232231320310
51401334213012124
641233202550340
73666610430355
oct634356557064
9167804121356
1055360282164
1121529488410
12a8900683b0
1352b3444915
1429725b7d2c
151690266879
hexce3bade34

55360282164 has 144 divisors (see below), whose sum is σ = 143924487168. Its totient is φ = 16424856000.

The previous prime is 55360282157. The next prime is 55360282169. The reversal of 55360282164 is 46128206355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55360282169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180326499 + ... + 180326805.

Almost surely, 255360282164 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 55360282164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71962243584).

55360282164 is an abundant number, since it is smaller than the sum of its proper divisors (88564205004).

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

55360282164 is a wasteful number, since it uses less digits than its factorization.

55360282164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 55360282164 in words is "fifty-five billion, three hundred sixty million, two hundred eighty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 271 284 307 426 542 614 781 813 852 921 1084 1228 1562 1626 1842 2343 2981 3124 3252 3377 3684 4686 5041 5962 6754 8943 9372 10082 10131 11924 13508 15123 17886 19241 20164 20262 21797 30246 35772 38482 40524 43594 55451 57723 60492 65391 76964 83197 87188 110902 115446 130782 166353 166394 211651 221804 230892 239767 249591 261564 332706 332788 423302 479534 499182 634953 665412 719301 846604 915167 959068 998364 1269906 1366111 1438602 1547587 1830334 2539812 2732222 2745501 2877204 3095174 3660668 4098333 4642761 5464444 5491002 5906987 6190348 8196666 9285522 10982004 11813974 15027221 16393332 17023457 17720961 18571044 23627948 30054442 34046914 35441922 45081663 51070371 60108884 64976857 68093828 70883844 90163326 102140742 129953714 180326652 194930571 204281484 259907428 389861142 419396077 779722284 838792154 1258188231 1677584308 2516376462 4613356847 5032752924 9226713694 13840070541 18453427388 27680141082 55360282164