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20852725364464 = 24717311667211933
BaseRepresentation
bin1001011110111001001110…
…10010011011011011110000
32201211111112021200021110211
410233130213102123123300
510213122340143130324
6112203335414033504
74251362655023440
oct457344722333360
981744467607424
1020852725364464
11670a655925504
122409493648894
13b83532827906
145213c4c6a120
15262661e13294
hex12f72749b6f0

20852725364464 has 160 divisors (see below), whose sum is σ = 50497612517376. Its totient is φ = 8134933524480.

The previous prime is 20852725364437. The next prime is 20852725364479. The reversal of 20852725364464 is 46446352725802.

It is a junction number, because it is equal to n+sod(n) for n = 20852725364399 and 20852725364408.

It is a congruent number.

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, 98287042 + ... + 98498974.

Almost surely, 220852725364464 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 20852725364464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25248806258688).

20852725364464 is an abundant number, since it is smaller than the sum of its proper divisors (29644887152912).

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

20852725364464 is a wasteful number, since it uses less digits than its factorization.

20852725364464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213663 (or 213657 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 58.

The spelling of 20852725364464 in words is "twenty trillion, eight hundred fifty-two billion, seven hundred twenty-five million, three hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 434 476 496 527 868 952 1054 1667 1736 1904 2108 3334 3472 3689 4216 6668 7378 8432 11669 13336 14756 23338 26672 28339 29512 46676 51677 56678 59024 93352 103354 113356 186704 198373 206708 211933 226712 361739 396746 413416 423866 453424 723478 793492 826832 847732 878509 1446956 1483531 1586984 1695464 1757018 2893912 2967062 3173968 3390928 3514036 3602861 5787824 5934124 6149563 6569923 7028072 7205722 11868248 12299126 13139846 14056144 14411444 23736496 24598252 25220027 26279692 28822888 45989461 49196504 50440054 52559384 57645776 91978922 98393008 100880108 105118768 111688691 183957844 201760216 223377382 353292311 367915688 403520432 446754764 706584622 735831376 781820837 893509528 1413169244 1563641674 1787019056 2473046177 2826338488 3127283348 4946092354 5652676976 6005969287 6254566696 9892184708 10952061641 12011938574 12509133392 19784369416 21904123282 24023877148 39568738832 42041785009 43808246564 48047754296 76664431487 84083570018 87616493128 96095508592 153328862974 168167140036 175232986256 186185047897 306657725948 336334280072 372370095794 613315451896 672668560144 744740191588 1226630903792 1303295335279 1489480383176 2606590670558 2978960766352 5213181341116 10426362682232 20852725364464