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20120438337408 = 273328612034913
BaseRepresentation
bin1001001001100101001111…
…00101000110111110000000
32122020111100221102222001000
410210302213211012332000
510114123124203244113
6110443111325412000
74144440135010623
oct444624745067600
978214327388030
1020120438337408
1164580369a2582
12230b58610a000
13b2c470243546
144d7b978a7dba
1524d5a3574373
hex124ca7946f80

20120438337408 has 128 divisors (see below), whose sum is σ = 59404023453600. Its totient is φ = 6704465264640.

The previous prime is 20120438337407. The next prime is 20120438337437. The reversal of 20120438337408 is 80473383402102.

20120438337408 is a `hidden beast` number, since 2 + 0 + 1 + 204 + 3 + 8 + 3 + 37 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120438337407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8870160 + ... + 10905072.

Almost surely, 220120438337408 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 20120438337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29702011726800).

20120438337408 is an abundant number, since it is smaller than the sum of its proper divisors (39283585116192).

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

20120438337408 is a wasteful number, since it uses less digits than its factorization.

20120438337408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037797 (or 2037779 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20120438337408 in words is "twenty trillion, one hundred twenty billion, four hundred thirty-eight million, three hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 2861 3456 5722 8583 11444 17166 22888 25749 34332 45776 51498 68664 77247 91552 102996 137328 154494 183104 205992 274656 308988 366208 411984 549312 617976 823968 1098624 1235952 1647936 2034913 2471904 3295872 4069826 4943808 6104739 8139652 9887616 12209478 16279304 18314217 24418956 32558608 36628434 48837912 54942651 65117216 73256868 97675824 109885302 130234432 146513736 195351648 219770604 260468864 293027472 390703296 439541208 586054944 781406592 879082416 1172109888 1758164832 2344219776 3516329664 5821886093 7032659328 11643772186 17465658279 23287544372 34931316558 46575088744 52396974837 69862633116 93150177488 104793949674 139725266232 157190924511 186300354976 209587899348 279450532464 314381849022 372600709952 419175798696 558901064928 628763698044 745201419904 838351597392 1117802129856 1257527396088 1676703194784 2235604259712 2515054792176 3353406389568 5030109584352 6706812779136 10060219168704 20120438337408