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4756125696 = 21137110587
BaseRepresentation
bin1000110110111110…
…01011100000000000
3110021110111012220120
410123133023200000
534220032010241
62103540140240
7225601254450
oct43337134000
913243435816
104756125696
1120207886a3
12b08997680
135aa48247a
1433193bd60
151cc832666
hex11b7cb800

4756125696 has 96 divisors (see below), whose sum is σ = 14491451520. Its totient is φ = 1358880768.

The previous prime is 4756125691. The next prime is 4756125697. The reversal of 4756125696 is 6965216574.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4756125691) 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, 12286 + ... + 98301.

It is an arithmetic number, because the mean of its divisors is an integer number (150952620).

Almost surely, 24756125696 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 4756125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245725760).

4756125696 is an abundant number, since it is smaller than the sum of its proper divisors (9735325824).

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

4756125696 is a wasteful number, since it uses less digits than its factorization.

4756125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110619 (or 110599 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 4756125696 is about 68964.6699114844. The cubic root of 4756125696 is about 1681.7100048955.

The spelling of 4756125696 in words is "four billion, seven hundred fifty-six million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 110587 221174 331761 442348 663522 774109 884696 1327044 1548218 1769392 2322327 2654088 3096436 3538784 4644654 5308176 6192872 7077568 9289308 10616352 12385744 14155136 18578616 21232704 24771488 28310272 37157232 42465408 49542976 56620544 74314464 84930816 99085952 113241088 148628928 169861632 198171904 226482176 297257856 339723264 396343808 594515712 679446528 792687616 1189031424 1585375232 2378062848 4756125696