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49827622656 = 283715161381
BaseRepresentation
bin101110011001111101…
…010010111100000000
311202121120110111100210
4232121331102330000
51304021332411111
634520202514120
73412526542620
oct563175227400
9152546414323
1049827622656
111a14a437439
1297a7205940
1349111375b6
1425a989c880
1514696950a6
hexb99f52f00

49827622656 has 144 divisors (see below), whose sum is σ = 152565206528. Its totient is φ = 14141952000.

The previous prime is 49827622651. The next prime is 49827622667. The reversal of 49827622656 is 65622672894.

49827622656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49827622596 and 49827622605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49827622651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781086 + ... + 842466.

Almost surely, 249827622656 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 49827622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76282603264).

49827622656 is an abundant number, since it is smaller than the sum of its proper divisors (102737583872).

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

49827622656 is a wasteful number, since it uses less digits than its factorization.

49827622656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61558 (or 61544 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 49827622656 in words is "forty-nine billion, eight hundred twenty-seven million, six hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 151 168 192 224 256 302 336 384 448 453 604 672 768 896 906 1057 1208 1344 1792 1812 2114 2416 2688 3171 3624 4228 4832 5376 6342 7248 8456 9664 12684 14496 16912 19328 25368 28992 33824 38656 50736 57984 61381 67648 101472 115968 122762 135296 184143 202944 245524 270592 368286 405888 429667 491048 736572 811776 859334 982096 1289001 1473144 1718668 1964192 2578002 2946288 3437336 3928384 5156004 5892576 6874672 7856768 9268531 10312008 11785152 13749344 15713536 18537062 20624016 23570304 27498688 27805593 37074124 41248032 47140608 54997376 55611186 64879717 74148248 82496064 109994752 111222372 129759434 148296496 164992128 194639151 222444744 259518868 296592992 329984256 389278302 444889488 519037736 593185984 778556604 889778976 1038075472 1186371968 1557113208 1779557952 2076150944 2372743936 3114226416 3559115904 4152301888 6228452832 7118231808 8304603776 12456905664 16609207552 24913811328 49827622656