Search a number
-
+
4451356100500 = 2253172831850491
BaseRepresentation
bin100000011000110100101…
…1111111100011110010100
3120202112201122211021201021
41000301221133330132110
51040412334130204000
613244531425410524
7636412516363501
oct100615137743624
916675648737637
104451356100500
11146689a521431
125ba852199a44
132639b812480a
14115637d984a8
157abcb31b11a
hex40c697fc794

4451356100500 has 96 divisors (see below), whose sum is σ = 10330008893568. Its totient is φ = 1669882176000.

The previous prime is 4451356100497. The next prime is 4451356100603. The reversal of 4451356100500 is 50016531544.

It is a super-2 number, since 2×44513561005002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1480255 + ... + 3330745.

It is an arithmetic number, because the mean of its divisors is an integer number (107604259308).

Almost surely, 24451356100500 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 4451356100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165004446784).

4451356100500 is an abundant number, since it is smaller than the sum of its proper divisors (5878652793068).

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

4451356100500 is a wasteful number, since it uses less digits than its factorization.

4451356100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850810 (or 1850798 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 4451356100500 in words is "four trillion, four hundred fifty-one billion, three hundred fifty-six million, one hundred thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 283 340 425 500 566 850 1132 1415 1700 2125 2830 4250 4811 5660 7075 8500 9622 14150 19244 24055 28300 35375 48110 70750 96220 120275 141500 240550 481100 601375 1202750 1850491 2405500 3700982 7401964 9252455 18504910 31458347 37009820 46262275 62916694 92524550 125833388 157291735 185049100 231311375 314583470 462622750 523688953 629166940 786458675 925245500 1047377906 1572917350 2094755812 2618444765 3145834700 3932293375 5236889530 7864586750 8902712201 10473779060 13092223825 15729173500 17805424402 26184447650 35610848804 44513561005 52368895300 65461119125 89027122010 130922238250 178054244020 222567805025 261844476500 445135610050 890271220100 1112839025125 2225678050250 4451356100500