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39999200004 = 22344122712
BaseRepresentation
bin100101010000001000…
…110101101100000100
310211020121112220010000
4211100020311230010
51123404243400004
630213025401300
72614134406311
oct452010655404
9124217486100
1039999200004
1115a66561a95
127903799230
133a05b623aa
141d1643dd08
1510918c9c39
hex950235b04

39999200004 has 135 divisors (see below), whose sum is σ = 107575351653. Its totient is φ = 12959870400.

The previous prime is 39999199991. The next prime is 39999200009. The reversal of 39999200004 is 40000299993.

The square root of 39999200004 is 199998.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1927385604 + 38071814400 = 43902^2 + 195120^2 .

It is not an unprimeable number, because it can be changed into a prime (39999200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 147598389 + ... + 147598659.

Almost surely, 239999200004 is an apocalyptic number.

39999200004 is the 199998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39999200004

39999200004 is an abundant number, since it is smaller than the sum of its proper divisors (67576151649).

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

39999200004 is an equidigital number, since it uses as much as digits as its factorization.

39999200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

Adding to 39999200004 its reverse (40000299993), we get a palindrome (79999499997).

The spelling of 39999200004 in words is "thirty-nine billion, nine hundred ninety-nine million, two hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 271 324 369 492 542 738 813 1084 1107 1476 1626 1681 2214 2439 3252 3321 3362 4428 4878 5043 6642 6724 7317 9756 10086 11111 13284 14634 15129 20172 21951 22222 29268 30258 33333 43902 44444 45387 60516 66666 73441 87804 90774 99999 133332 136161 146882 181548 199998 220323 272322 293764 299997 399996 440646 455551 544644 599994 660969 881292 899991 911102 1199988 1321938 1366653 1799982 1822204 1982907 2643876 2733306 3011081 3599964 3965814 4099959 5466612 5948721 6022162 7931628 8199918 9033243 11897442 12044324 12299877 16399836 18066486 23794884 24599754 27099729 36132972 36899631 49199508 54199458 73799262 81299187 108398916 123454321 147598524 162598374 243897561 246908642 325196748 370362963 487795122 493817284 740725926 975590244 1111088889 1481451852 2222177778 3333266667 4444355556 6666533334 9999800001 13333066668 19999600002 39999200004