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20346333456504 = 233111012772754743
BaseRepresentation
bin1001010000001001111111…
…11110100110100001111000
32200001002102221221222220110
410220010333332212201320
510131323242331102004
6111134550534024320
74166655052565646
oct450047776464170
980032387858813
1020346333456504
116534916898a50
122347309aa80a0
13b47860373aa3
14504aa6b7c196
152543c5081589
hex12813ffa6878

20346333456504 has 128 divisors (see below), whose sum is σ = 56241735022080. Its totient is φ = 6082470336000.

The previous prime is 20346333456499. The next prime is 20346333456523. The reversal of 20346333456504 is 40565433364302.

It is a congruent number.

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, 6008557 + ... + 8763299.

It is an arithmetic number, because the mean of its divisors is an integer number (439388554860).

Almost surely, 220346333456504 is an apocalyptic number.

20346333456504 is a gapful number since it is divisible by the number (24) 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 20346333456504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28120867511040).

20346333456504 is an abundant number, since it is smaller than the sum of its proper divisors (35895401565576).

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

20346333456504 is a wasteful number, since it uses less digits than its factorization.

20346333456504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755141 (or 2755137 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 48.

The spelling of 20346333456504 in words is "twenty trillion, three hundred forty-six billion, three hundred thirty-three million, four hundred fifty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 277 303 404 554 606 808 831 1108 1111 1212 1662 2216 2222 2424 3047 3324 3333 4444 6094 6648 6666 8888 9141 12188 13332 18282 24376 26664 27977 36564 55954 73128 83931 111908 167862 223816 307747 335724 615494 671448 923241 1230988 1846482 2461976 2754743 3692964 5509486 7385928 8264229 11018972 16528458 22037944 30302173 33056916 60604346 66113832 90906519 121208692 181813038 242417384 278229043 363626076 556458086 727252152 763063811 834687129 1112916172 1526127622 1669374258 2225832344 2289191433 3052255244 3060519473 3338748516 4578382866 6104510488 6121038946 6677497032 8393701921 9156765732 9181558419 12242077892 16787403842 18313531464 18363116838 24484155784 25181105763 33574807684 36726233676 50362211526 67149615368 73452467352 77069444911 100724423052 154138889822 201448846104 231208334733 308277779644 462416669466 616555559288 847763894021 924833338932 1695527788042 1849666677864 2543291682063 3391055576084 5086583364126 6782111152168 10173166728252 20346333456504