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39990111001000 = 2353411103884287
BaseRepresentation
bin10010001011110111011000…
…10111000101100110101000
312020121000110121000210221021
421011323230113011212220
520220144221404013000
6221015111532422224
711265122141662606
oct1105735427054650
9166530417023837
1039990111001000
1111818790135826
12459a427317974
1319410888a3174
149c3762dac876
1549537b98811a
hex245eec5c59a8

39990111001000 has 128 divisors (see below), whose sum is σ = 95946238402560. Its totient is φ = 15591730752000.

The previous prime is 39990111000967. The next prime is 39990111001019. The reversal of 39990111001000 is 10011109993.

39990111001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44780857 + ... + 45665143.

It is an arithmetic number, because the mean of its divisors is an integer number (749579987520).

Almost surely, 239990111001000 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 39990111001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47973119201280).

39990111001000 is an abundant number, since it is smaller than the sum of its proper divisors (55956127401560).

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

39990111001000 is a wasteful number, since it uses less digits than its factorization.

39990111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885452 (or 885438 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 34.

The spelling of 39990111001000 in words is "thirty-nine trillion, nine hundred ninety billion, one hundred eleven million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1103 1640 2050 2206 4100 4412 5125 5515 8200 8824 10250 11030 20500 22060 27575 41000 44120 45223 55150 90446 110300 137875 180892 220600 226115 275750 361784 452230 551500 884287 904460 1103000 1130575 1768574 1808920 2261150 3537148 4421435 4522300 5652875 7074296 8842870 9044600 11305750 17685740 22107175 22611500 35371480 36255767 44214350 45223000 72511534 88428700 110535875 145023068 176857400 181278835 221071750 290046136 362557670 442143500 725115340 884287000 906394175 975368561 1450230680 1812788350 1950737122 3625576700 3901474244 4531970875 4876842805 7251153400 7802948488 9063941750 9753685610 18127883500 19507371220 24384214025 36255767000 39014742440 39990111001 48768428050 79980222002 97536856100 121921070125 159960444004 195073712200 199950555005 243842140250 319920888008 399901110010 487684280500 799802220020 975368561000 999752775025 1599604440040 1999505550050 3999011100100 4998763875125 7998022200200 9997527750250 19995055500500 39990111001000