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19998925229232 = 243510477490957
BaseRepresentation
bin1001000110000010111001…
…10101011000110010110000
32121210212201111002111100000
410203001130311120302300
510110130244324313412
6110311213542030000
74132606003434255
oct443013465306260
977725644074300
1019998925229232
116410550a14934
1222abb13718300
13b20b767276c1
144d1d4b60942c
1524a3408354dc
hex12305cd58cb0

19998925229232 has 120 divisors (see below), whose sum is σ = 58047806414416. Its totient is φ = 6665658552576.

The previous prime is 19998925229209. The next prime is 19998925229249. The reversal of 19998925229232 is 23292252989991.

19998925229232 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 8 + 9 + 2 + 522 + 92 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40489098 + ... + 40980054.

Almost surely, 219998925229232 is an apocalyptic number.

19998925229232 is a gapful number since it is divisible by the number (12) 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 19998925229232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29023903207208).

19998925229232 is an abundant number, since it is smaller than the sum of its proper divisors (38048881185184).

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

19998925229232 is a wasteful number, since it uses less digits than its factorization.

19998925229232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501457 (or 501439 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 72.

The spelling of 19998925229232 in words is "nineteen trillion, nine hundred ninety-eight billion, nine hundred twenty-five million, two hundred twenty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 10477 20954 31431 41908 62862 83816 94293 125724 167632 188586 251448 282879 377172 490957 502896 565758 754344 848637 981914 1131516 1472871 1508688 1697274 1963828 2263032 2545911 2945742 3394548 3927656 4418613 4526064 5091822 5891484 6789096 7855312 8837226 10183644 11782968 13255839 13578192 17674452 20367288 23565936 26511678 35348904 39767517 40734576 53023356 70697808 79535034 106046712 119302551 159070068 212093424 238605102 318140136 477210204 636280272 954420408 1908840816 5143756489 10287512978 15431269467 20575025956 30862538934 41150051912 46293808401 61725077868 82300103824 92587616802 123450155736 138881425203 185175233604 246900311472 277762850406 370350467208 416644275609 555525700812 740700934416 833288551218 1111051401624 1249932826827 1666577102436 2222102803248 2499865653654 3333154204872 4999731307308 6666308409744 9999462614616 19998925229232