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253450423345050 = 232527091091728131
BaseRepresentation
bin111001101000001100000110…
…011100111001111110011010
31020020101121211210001022000100
4321220030012130321332122
5231210012431334020200
62255013303405520230
7104246121522411651
oct7150140634717632
91206347753038010
10253450423345050
11738367a25a29a8
1224514481b73076
13ab56370516219
1446830ccd38198
151e47c61956d00
hexe68306739f9a

253450423345050 has 144 divisors (see below), whose sum is σ = 682523180408160. Its totient is φ = 67429498032000.

The previous prime is 253450423344983. The next prime is 253450423345069. The reversal of 253450423345050 is 50543324054352.

253450423345050 is a `hidden beast` number, since 2 + 5 + 34 + 50 + 42 + 33 + 450 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 253450423344987 and 253450423345005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 347719485 + ... + 348447615.

It is an arithmetic number, because the mean of its divisors is an integer number (4739744308390).

Almost surely, 2253450423345050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253450423345050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341261590204080).

253450423345050 is an abundant number, since it is smaller than the sum of its proper divisors (429072757063110).

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

253450423345050 is a wasteful number, since it uses less digits than its factorization.

253450423345050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729949 (or 729941 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 253450423345050 in words is "two hundred fifty-three trillion, four hundred fifty billion, four hundred twenty-three million, three hundred forty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 709 1091 1418 2127 2182 3273 3545 4254 5455 6381 6546 7090 9819 10635 10910 12762 16365 17725 19638 21270 27275 31905 32730 35450 49095 53175 54550 63810 81825 98190 106350 159525 163650 245475 319050 490950 728131 773519 1456262 1547038 2184393 2320557 3640655 3867595 4368786 4641114 6553179 6961671 7281310 7735190 10921965 11602785 13106358 13923342 18203275 19337975 21843930 23205570 32765895 34808355 36406550 38675950 54609825 58013925 65531790 69616710 109219650 116027850 163829475 174041775 327658950 348083550 516244879 794390921 1032489758 1548734637 1588781842 2383172763 2581224395 3097469274 3971954605 4646203911 4766345526 5162448790 7149518289 7743673185 7943909210 9292407822 11915863815 12906121975 14299036578 15487346370 19859773025 23231019555 23831727630 25812243950 35747591445 38718365925 39719546050 46462039110 59579319075 71495182890 77436731850 116155097775 119158638150 178737957225 232310195550 357475914450 563223162989 1126446325978 1689669488967 2816115814945 3379338977934 5069008466901 5632231629890 8448347444835 10138016933802 14080579074725 16896694889670 25345042334505 28161158149450 42241737224175 50690084669010 84483474448350 126725211672525 253450423345050