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52839324940464 = 24366776691463
BaseRepresentation
bin11000000001110100111010…
…01100010111100010110000
320221002101112101221211000000
430000322131030113202300
523411204414141043324
6304214014544430000
714062341505254336
oct1400723514274260
9227071471854000
1052839324940464
1115922039457467
125b14747018300
13236395b199c4a
14d096190a5b56
1561971351d9c9
hex300e9d3178b0

52839324940464 has 140 divisors (see below), whose sum is σ = 153720821054736. Its totient is φ = 17587089277056.

The previous prime is 52839324940453. The next prime is 52839324940469. The reversal of 52839324940464 is 46404942393825.

52839324940464 is a `hidden beast` number, since 5 + 2 + 8 + 3 + 93 + 2 + 49 + 40 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (52839324940469) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4550797 + ... + 11242259.

Almost surely, 252839324940464 is an apocalyptic number.

52839324940464 is a gapful number since it is divisible by the number (54) 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 52839324940464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76860410527368).

52839324940464 is an abundant number, since it is smaller than the sum of its proper divisors (100881496114272).

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

52839324940464 is an equidigital number, since it uses as much as digits as its factorization.

52839324940464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6692166 (or 6692145 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 52839324940464 in words is "fifty-two trillion, eight hundred thirty-nine billion, three hundred twenty-four million, nine hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 677 729 972 1296 1354 1458 1944 2031 2708 2916 3888 4062 5416 5832 6093 8124 10832 11664 12186 16248 18279 24372 32496 36558 48744 54837 73116 97488 109674 146232 164511 219348 292464 329022 438696 493533 658044 877392 987066 1316088 1974132 2632176 3948264 6691463 7896528 13382926 20074389 26765852 40148778 53531704 60223167 80297556 107063408 120446334 160595112 180669501 240892668 321190224 361339002 481785336 542008503 722678004 963570672 1084017006 1445356008 1626025509 2168034012 2890712016 3252051018 4336068024 4530120451 4878076527 6504102036 8672136048 9060240902 9756153054 13008204072 13590361353 18120481804 19512306108 26016408144 27180722706 36240963608 39024612216 40771084059 54361445412 72481927216 78049224432 81542168118 108722890824 122313252177 163084336236 217445781648 244626504354 326168672472 366939756531 489253008708 652337344944 733879513062 978506017416 1100819269593 1467759026124 1957012034832 2201638539186 2935518052248 3302457808779 4403277078372 5871036104496 6604915617558 8806554156744 13209831235116 17613108313488 26419662470232 52839324940464