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20484736192296 = 2333738631505369
BaseRepresentation
bin1001010100001011110010…
…11011001000111100101000
32200112022200111010110002000
410222011321123020330220
510141110214431123141
6111322320301011000
74212654600461205
oct452057133107450
980468614113060
1020484736192296
1165885895a9922
12236a0b4853a60
13b5791904a31c
1450b6761c8cac
15257cc59445b6
hex12a1796c8f28

20484736192296 has 128 divisors (see below), whose sum is σ = 57748401792000. Its totient is φ = 6726899487744.

The previous prime is 20484736192279. The next prime is 20484736192313. The reversal of 20484736192296 is 69229163748402.

20484736192296 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 4 + 7 + 3 + 619 + 2 + 2 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (20484736192279) and next prime (20484736192313).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12855100 + ... + 14360468.

It is an arithmetic number, because the mean of its divisors is an integer number (451159389000).

Almost surely, 220484736192296 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 20484736192296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28874200896000).

20484736192296 is an abundant number, since it is smaller than the sum of its proper divisors (37263665599704).

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

20484736192296 is a wasteful number, since it uses less digits than its factorization.

20484736192296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506320 (or 1506310 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 20484736192296 in words is "twenty trillion, four hundred eighty-four billion, seven hundred thirty-six million, one hundred ninety-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 863 876 1314 1726 1752 1971 2589 2628 3452 3942 5178 5256 6904 7767 7884 10356 15534 15768 20712 23301 31068 46602 62136 62999 93204 125998 186408 188997 251996 377994 503992 566991 755988 1133982 1505369 1511976 1700973 2267964 3010738 3401946 4516107 4535928 6021476 6803892 9032214 12042952 13548321 13607784 18064428 27096642 36128856 40644963 54193284 81289926 108386568 109891937 162579852 219783874 325159704 329675811 439567748 659351622 879135496 989027433 1299133447 1318703244 1978054866 2598266894 2637406488 2967082299 3897400341 3956109732 5196533788 5934164598 7794800682 7912219464 10393067576 11692201023 11868329196 15589601364 23384402046 23736658392 31179202728 35076603069 46768804092 70153206138 93537608184 94836741631 140306412276 189673483262 280612824552 284510224893 379346966524 569020449786 758693933048 853530674679 1138040899572 1707061349358 2276081799144 2560592024037 3414122698716 5121184048074 6828245397432 10242368096148 20484736192296