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4258242628752 = 2437197607105983
BaseRepresentation
bin111101111101110011000…
…010100000110010010000
3120002002021020202111000210
4331331303002200302100
51024231340103110002
613020113141444120
7616435136064360
oct75756302406220
916062236674023
104258242628752
1113a1a01a518a2
12589338a10640
1324b72075bc38
1410a1587369a0
1575b7774996c
hex3df730a0c90

4258242628752 has 160 divisors (see below), whose sum is σ = 12656707633152. Its totient is φ = 1208459331072.

The previous prime is 4258242628649. The next prime is 4258242628763. The reversal of 4258242628752 is 2578262428524.

It is a junction number, because it is equal to n+sod(n) for n = 4258242628692 and 4258242628701.

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, 40125553 + ... + 40231535.

Almost surely, 24258242628752 is an apocalyptic number.

4258242628752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4258242628752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328353816576).

4258242628752 is an abundant number, since it is smaller than the sum of its proper divisors (8398465004400).

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

4258242628752 is a wasteful number, since it uses less digits than its factorization.

4258242628752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106805 (or 106799 counting only the distinct ones).

The product of its digits is 34406400, while the sum is 57.

The spelling of 4258242628752 in words is "four trillion, two hundred fifty-eight billion, two hundred forty-two million, six hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 197 336 394 591 607 788 1182 1214 1379 1576 1821 2364 2428 2758 3152 3642 4137 4249 4728 4856 5516 7284 8274 8498 9456 9712 11032 12747 14568 16548 16996 22064 25494 29136 33096 33992 50988 66192 67984 101976 105983 119579 203952 211966 239158 317949 358737 423932 478316 635898 717474 741881 837053 847864 956632 1271796 1434948 1483762 1674106 1695728 1913264 2225643 2511159 2543592 2869896 2967524 3348212 4451286 5022318 5087184 5739792 5935048 6696424 8902572 10044636 11870096 13392848 17805144 20089272 20878651 35610288 40178544 41757302 62635953 64331681 83514604 125271906 128663362 146150557 167029208 192995043 250543812 257326724 292301114 334058416 385990086 438451671 450321767 501087624 514653448 584602228 771980172 876903342 900643534 1002175248 1029306896 1169204456 1350965301 1543960344 1753806684 1801287068 2338408912 2701930602 3087920688 3507613368 3602574136 5403861204 7015226736 7205148272 10807722408 12673341157 21615444816 25346682314 38020023471 50693364628 76040046942 88713388099 101386729256 152080093884 177426776198 202773458512 266140164297 304160187768 354853552396 532280328594 608320375536 709707104792 1064560657188 1419414209584 2129121314376 4258242628752