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4552312006000 = 2453111553133241
BaseRepresentation
bin100001000111110101011…
…1100001010010101110000
3121010012022110011122210101
41002033222330022111300
51044041113333143000
613403145301042144
7646615351412503
oct102175274122560
917105273148711
104552312006000
1114a56964a3480
126163280b6354
132703869a2cc5
1411a493d6913a
157d639426e6a
hex423eaf0a570

4552312006000 has 160 divisors (see below), whose sum is σ = 12015993802176. Its totient is φ = 1654307840000.

The previous prime is 4552312005959. The next prime is 4552312006007. The reversal of 4552312006000 is 6002132554.

It is a self number, because there is not a number n which added to its sum of digits gives 4552312006000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4552312006007) 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, 34099380 + ... + 34232620.

Almost surely, 24552312006000 is an apocalyptic number.

4552312006000 is a gapful number since it is divisible by the number (40) 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 4552312006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007996901088).

4552312006000 is an abundant number, since it is smaller than the sum of its proper divisors (7463681796176).

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

4552312006000 is a wasteful number, since it uses less digits than its factorization.

4552312006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134828 (or 134812 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 4552312006000 its reverse (6002132554), we get a palindrome (4558314138554).

The spelling of 4552312006000 in words is "four trillion, five hundred fifty-two billion, three hundred twelve million, six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 1553 2000 2200 2750 3106 4400 5500 6212 7765 11000 12424 15530 17083 22000 24848 31060 34166 38825 62120 68332 77650 85415 124240 133241 136664 155300 170830 194125 266482 273328 310600 341660 388250 427075 532964 621200 666205 683320 776500 854150 1065928 1332410 1366640 1465651 1553000 1708300 2131856 2135375 2664820 2931302 3106000 3331025 3416600 4270750 5329640 5862604 6662050 6833200 7328255 8541500 10659280 11725208 13324100 14656510 16655125 17083000 23450416 26648200 29313020 33310250 34166000 36641275 53296400 58626040 66620500 73282550 117252080 133241000 146565100 183206375 206923273 266482000 293130200 366412750 413846546 586260400 732825500 827693092 1034616365 1465651000 1655386184 2069232730 2276156003 2931302000 3310772368 4138465460 4552312006 5173081825 8276930920 9104624012 10346163650 11380780015 16553861840 18209248024 20692327300 22761560030 25865409125 36418496048 41384654600 45523120060 51730818250 56903900075 82769309200 91046240120 103461636500 113807800150 182092480240 206923273000 227615600300 284519500375 413846546000 455231200600 569039000750 910462401200 1138078001500 2276156003000 4552312006000