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4916632344 = 2331353734073
BaseRepresentation
bin1001001010000110…
…11101101100011000
3110200122111210122020
410211003131230120
540032124213334
62131512254440
7232560454041
oct44503355430
913618453566
104916632344
1120a3346718
12b526a1420
136047bc710
14348d9d8c8
151db989e49
hex1250ddb18

4916632344 has 128 divisors (see below), whose sum is σ = 13674951360. Its totient is φ = 1463574528.

The previous prime is 4916632319. The next prime is 4916632349. The reversal of 4916632344 is 4432366194.

It is a junction number, because it is equal to n+sod(n) for n = 4916632296 and 4916632305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4916632349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205092 + ... + 1209164.

Almost surely, 24916632344 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 4916632344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837475680).

4916632344 is an abundant number, since it is smaller than the sum of its proper divisors (8758319016).

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

4916632344 is a wasteful number, since it uses less digits than its factorization.

4916632344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4217 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 4916632344 is about 70118.7018134249. The cubic root of 4916632344 is about 1700.4188522718.

The spelling of 4916632344 in words is "four billion, nine hundred sixteen million, six hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 73 78 104 106 146 156 159 212 219 292 312 318 424 438 584 636 689 876 949 1272 1378 1752 1898 2067 2756 2847 3796 3869 4073 4134 5512 5694 7592 7738 8146 8268 11388 11607 12219 15476 16292 16536 22776 23214 24438 30952 32584 46428 48876 50297 52949 92856 97752 100594 105898 150891 158847 201188 211796 215869 297329 301782 317694 402376 423592 431738 594658 603564 635388 647607 863476 891987 1189316 1207128 1270776 1295214 1726952 1783974 2378632 2590428 2806297 3567948 3865277 5180856 5612594 7135896 7730554 8418891 11225188 11595831 15461108 15758437 16837782 22450376 23191662 30922216 31516874 33675564 46383324 47275311 63033748 67351128 92766648 94550622 126067496 189101244 204859681 378202488 409719362 614579043 819438724 1229158086 1638877448 2458316172 4916632344