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49661024256 = 211326014483
BaseRepresentation
bin101110010000000001…
…110001100000000000
311202011221222102022200
4232100001301200000
51303201210234011
634451452033200
73405434512164
oct562001614000
9152157872280
1049661024256
111a074398608
12975b462800
1348b577666c
1425916d2ca4
151459c37856
hexb90071800

49661024256 has 144 divisors (see below), whose sum is σ = 143700855480. Its totient is φ = 16522444800.

The previous prime is 49661024207. The next prime is 49661024269. The reversal of 49661024256 is 65242016694.

49661024256 is a `hidden beast` number, since 4 + 9 + 6 + 610 + 2 + 4 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11075391 + ... + 11079873.

Almost surely, 249661024256 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 49661024256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850427740).

49661024256 is an abundant number, since it is smaller than the sum of its proper divisors (94039831224).

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

49661024256 is a wasteful number, since it uses less digits than its factorization.

49661024256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 49661024256 in words is "forty-nine billion, six hundred sixty-one million, twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 601 768 1024 1152 1202 1536 1803 2048 2304 2404 3072 3606 4483 4608 4808 5409 6144 7212 8966 9216 9616 10818 13449 14424 17932 18432 19232 21636 26898 28848 35864 38464 40347 43272 53796 57696 71728 76928 80694 86544 107592 115392 143456 153856 161388 173088 215184 230784 286912 307712 322776 346176 430368 461568 573824 615424 645552 692352 860736 923136 1147648 1230848 1291104 1384704 1721472 1846272 2295296 2582208 2694283 2769408 3442944 3692544 4590592 5164416 5388566 5538816 6885888 8082849 9181184 10328832 10777132 11077632 13771776 16165698 20657664 21554264 24248547 27543552 32331396 41315328 43108528 48497094 64662792 82630656 86217056 96994188 129325584 172434112 193988376 258651168 344868224 387976752 517302336 689736448 775953504 1034604672 1379472896 1551907008 2069209344 2758945792 3103814016 4138418688 5517891584 6207628032 8276837376 12415256064 16553674752 24830512128 49661024256