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47441235968 = 21272696151
BaseRepresentation
bin101100001011101101…
…111101000000000000
311112110021001111020122
4230023231331000000
51234124424022333
633443314155412
73266431565210
oct541355750000
9145407044218
1047441235968
1119135382835
12923bb82b68
134620907079
142420984240
151379e0c798
hexb0bb7d000

47441235968 has 104 divisors (see below), whose sum is σ = 108844629120. Its totient is φ = 20253081600.

The previous prime is 47441235967. The next prime is 47441235977. The reversal of 47441235968 is 86953214474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47441235967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7709693 + ... + 7715843.

Almost surely, 247441235968 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 47441235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54422314560).

47441235968 is an abundant number, since it is smaller than the sum of its proper divisors (61403393152).

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

47441235968 is an equidigital number, since it uses as much as digits as its factorization.

47441235968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6429 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 53.

The spelling of 47441235968 in words is "forty-seven billion, four hundred forty-one million, two hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 269 448 512 538 896 1024 1076 1792 1883 2048 2152 3584 3766 4096 4304 6151 7168 7532 8608 12302 14336 15064 17216 24604 28672 30128 34432 43057 49208 60256 68864 86114 98416 120512 137728 172228 196832 241024 275456 344456 393664 482048 550912 688912 787328 964096 1101824 1377824 1574656 1654619 1928192 2755648 3149312 3309238 3856384 5511296 6298624 6618476 7712768 11022592 11582333 12597248 13236952 22045184 23164666 25194496 26473904 44090368 46329332 52947808 88180736 92658664 105895616 176361472 185317328 211791232 370634656 423582464 741269312 847164928 1482538624 1694329856 2965077248 3388659712 5930154496 6777319424 11860308992 23720617984 47441235968