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48048516672 = 2631346741221
BaseRepresentation
bin101100101111111010…
…100010111001000000
311121000120202112202120
4230233322202321000
51241400410013142
634023450244240
73320454436662
oct545772427100
9147016675676
1048048516672
1119417153812
12938b426680
1346b9681870
14247b4a4532
1513b33b77ec
hexb2fea2e40

48048516672 has 112 divisors (see below), whose sum is σ = 137203964352. Its totient is φ = 14752143360.

The previous prime is 48048516617. The next prime is 48048516697. The reversal of 48048516672 is 27661584084.

48048516672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145022 + ... + 1186242.

It is an arithmetic number, because the mean of its divisors is an integer number (1225035396).

Almost surely, 248048516672 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 48048516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68601982176).

48048516672 is an abundant number, since it is smaller than the sum of its proper divisors (89155447680).

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

48048516672 is a wasteful number, since it uses less digits than its factorization.

48048516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41716 (or 41706 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 48048516672 in words is "forty-eight billion, forty-eight million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 467 624 832 934 1248 1401 1868 2496 2802 3736 5604 6071 7472 11208 12142 14944 18213 22416 24284 29888 36426 41221 44832 48568 72852 82442 89664 97136 123663 145704 164884 194272 247326 291408 329768 388544 494652 535873 582816 659536 989304 1071746 1165632 1319072 1607619 1978608 2143492 2638144 3215238 3957216 4286984 6430476 7914432 8573968 12860952 17147936 19250207 25721904 34295872 38500414 51443808 57750621 77000828 102887616 115501242 154001656 231002484 250252691 308003312 462004968 500505382 616006624 750758073 924009936 1001010764 1232013248 1501516146 1848019872 2002021528 3003032292 3696039744 4004043056 6006064584 8008086112 12012129168 16016172224 24024258336 48048516672