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4951958528 = 21011617207
BaseRepresentation
bin1001001110010100…
…01110010000000000
3110210002222120001102
410213022032100000
540120200133103
62135213353532
7233466644606
oct44712162000
913702876042
104951958528
112111284810
12b624988a8
1360bc0aa9a
1434d957876
151deb16e88
hex12728e400

4951958528 has 88 divisors (see below), whose sum is σ = 10977553344. Its totient is φ = 2213683200.

The previous prime is 4951958521. The next prime is 4951958537. The reversal of 4951958528 is 8258591594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (4951958521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683501 + ... + 690707.

Almost surely, 24951958528 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 4951958528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488776672).

4951958528 is an abundant number, since it is smaller than the sum of its proper divisors (6025594816).

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

4951958528 is a wasteful number, since it uses less digits than its factorization.

4951958528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7281 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 56.

The square root of 4951958528 is about 70370.1536732726. The cubic root of 4951958528 is about 1704.4816612478.

The spelling of 4951958528 in words is "four billion, nine hundred fifty-one million, nine hundred fifty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 256 352 488 512 671 704 976 1024 1342 1408 1952 2684 2816 3904 5368 5632 7207 7808 10736 11264 14414 15616 21472 28828 31232 42944 57656 62464 79277 85888 115312 158554 171776 230624 317108 343552 439627 461248 634216 687104 879254 922496 1268432 1758508 1844992 2536864 3517016 3689984 4835897 5073728 7034032 7379968 9671794 10147456 14068064 19343588 20294912 28136128 38687176 40589824 56272256 77374352 81179648 112544512 154748704 225089024 309497408 450178048 618994816 1237989632 2475979264 4951958528