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385988768640 = 273457445771
BaseRepresentation
bin1011001110111101011…
…10010011001110000000
31100220022012222001220000
411213132232103032000
522311001111044030
6453153142520000
736613106253666
oct5473656231600
91326265861800
10385988768640
11139773662952
1262982a36000
132a5248c92b7
1414979404c36
15a0917e7860
hex59deb93380

385988768640 has 160 divisors (see below), whose sum is σ = 1378435770360. Its totient is φ = 102930324480.

The previous prime is 385988768629. The next prime is 385988768681. The reversal of 385988768640 is 46867889583.

385988768640 is a `hidden beast` number, since 385 + 98 + 87 + 6 + 86 + 4 + 0 = 666.

385988768640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3671046 + ... + 3774725.

Almost surely, 2385988768640 is an apocalyptic number.

385988768640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385988768640 is an abundant number, since it is smaller than the sum of its proper divisors (992447001720).

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

385988768640 is an equidigital number, since it uses as much as digits as its factorization.

385988768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7445802 (or 7445781 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 385988768640 in words is "three hundred eighty-five billion, nine hundred eighty-eight million, seven hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 7445771 14891542 22337313 29783084 37228855 44674626 59566168 67011939 74457710 89349252 111686565 119132336 134023878 148915420 178698504 201035817 223373130 238264672 268047756 297830840 335059695 357397008 402071634 446746260 476529344 536095512 595661680 603107451 670119390 714794016 804143268 893492520 953058688 1005179085 1072191024 1191323360 1206214902 1340238780 1429588032 1608286536 1786985040 2010358170 2144382048 2382646720 2412429804 2680477560 2859176064 3015537255 3216573072 3573970080 4020716340 4288764096 4765293440 4824859608 5360955120 6031074510 6433146144 7147940160 8041432680 8577528192 9649719216 10721910240 12062149020 12866292288 14295880320 16082865360 19299438432 21443820480 24124298040 25732584576 32165730720 38598876864 42887640960 48248596080 64331461440 77197753728 96497192160 128662922880 192994384320 385988768640