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53755616117154 = 237379379872393
BaseRepresentation
bin11000011100011111101000…
…11001110100000110100010
321001022222122022110102100210
430032033310121310012202
524021213000211222104
6310154553352354550
714215500164616000
oct1416176431640642
9231288568412323
1053755616117154
11161456a098a446
1260422470a5a56
1323cc195b3ac73
14d3baddd77a70
15633490daa989
hex30e3f46741a2

53755616117154 has 128 divisors (see below), whose sum is σ = 127299732480000. Its totient is φ = 15124304168064.

The previous prime is 53755616117153. The next prime is 53755616117167. The reversal of 53755616117154 is 45171161655735.

It is a junction number, because it is equal to n+sod(n) for n = 53755616117094 and 53755616117103.

It is not an unprimeable number, because it can be changed into a prime (53755616117153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61182382 + ... + 62054774.

It is an arithmetic number, because the mean of its divisors is an integer number (994529160000).

Almost surely, 253755616117154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53755616117154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63649866240000).

53755616117154 is an abundant number, since it is smaller than the sum of its proper divisors (73544116362846).

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

53755616117154 is a wasteful number, since it uses less digits than its factorization.

53755616117154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872877 (or 872863 counting only the distinct ones).

The product of its digits is 13230000, while the sum is 57.

The spelling of 53755616117154 in words is "fifty-three trillion, seven hundred fifty-five billion, six hundred sixteen million, one hundred seventeen thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 343 379 474 553 686 758 1029 1106 1137 1659 2058 2274 2653 3318 3871 5306 7742 7959 11613 15918 18571 23226 27097 29941 37142 54194 55713 59882 81291 89823 111426 129997 162582 179646 209587 259994 389991 419174 628761 779982 872393 1257522 1467109 1744786 2617179 2934218 4401327 5234358 6106751 8802654 10269763 12213502 18320253 20539526 30809289 36640506 42747257 61618578 68919047 85494514 128241771 137838094 206757141 256483542 299230799 330636947 413514282 482433329 598461598 661273894 897692397 964866658 991910841 1447299987 1795384794 1983821682 2314458629 2894599974 3377033303 4628917258 6754066606 6943375887 10131099909 13886751774 16201210403 20262199818 23639233121 26120318813 32402420806 47278466242 48603631209 52240637626 70917699363 78360956439 97207262418 113408472821 141835398726 156721912878 182842231691 226816945642 340225418463 365684463382 548526695073 680450836926 1097053390146 1279895621837 2559791243674 3839686865511 7679373731022 8959269352859 17918538705718 26877808058577 53755616117154