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49394166900 = 223521364319697
BaseRepresentation
bin101110000000000111…
…110010110001110100
311201111100211122211220
4232000013302301310
51302124401320100
634405200230340
73366014330331
oct560007626164
9151440748756
1049394166900
1119a477a0741
1296a600b3b0
1348723b10c0
1425680a9988
1514415c3aa0
hexb801f2c74

49394166900 has 144 divisors (see below), whose sum is σ = 154154341824. Its totient is φ = 12139038720.

The previous prime is 49394166853. The next prime is 49394166911. The reversal of 49394166900 is 966149394.

It is a super-2 number, since 2×493941669002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2497852 + ... + 2517548.

Almost surely, 249394166900 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 49394166900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77077170912).

49394166900 is an abundant number, since it is smaller than the sum of its proper divisors (104760174924).

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

49394166900 is a wasteful number, since it uses less digits than its factorization.

49394166900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20370 (or 20363 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 49394166900 in words is "forty-nine billion, three hundred ninety-four million, one hundred sixty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 643 650 780 975 1286 1300 1929 1950 2572 3215 3858 3900 6430 7716 8359 9645 12860 16075 16718 19290 19697 25077 32150 33436 38580 39394 41795 48225 50154 59091 64300 78788 83590 96450 98485 100308 118182 125385 167180 192900 196970 208975 236364 250770 256061 295455 393940 417950 492425 501540 512122 590910 626925 768183 835900 984850 1024244 1181820 1253850 1280305 1477275 1536366 1969700 2507700 2560610 2954550 3072732 3840915 5121220 5909100 6401525 7681830 12665171 12803050 15363660 19204575 25330342 25606100 37995513 38409150 50660684 63325855 75991026 76818300 126651710 151982052 164647223 189977565 253303420 316629275 329294446 379955130 493941669 633258550 658588892 759910260 823236115 949887825 987883338 1266517100 1646472230 1899775650 1975766676 2469708345 3292944460 3799551300 4116180575 4939416690 8232361150 9878833380 12348541725 16464722300 24697083450 49394166900