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128432996352 = 2183254437
BaseRepresentation
bin111011110011100110…
…1000000000000000000
3110021111201100012201200
41313213031000000000
54101012321340402
6135000140501200
712164455312413
oct1674715000000
9407451305650
10128432996352
114a5170950a1
1220a83b4a800
13c15a35283b
146305323b7a
15351a4d121c
hex1de7340000

128432996352 has 114 divisors (see below), whose sum is σ = 371034764178. Its totient is φ = 42810212352.

The previous prime is 128432996323. The next prime is 128432996389. The reversal of 128432996352 is 253699234821.

128432996352 is a `hidden beast` number, since 1 + 284 + 3 + 2 + 9 + 9 + 6 + 352 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86069477376 + 42363518976 = 293376^2 + 205824^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2332078 + ... + 2386514.

Almost surely, 2128432996352 is an apocalyptic number.

128432996352 is a gapful number since it is divisible by the number (12) 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 128432996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185517382089).

128432996352 is an abundant number, since it is smaller than the sum of its proper divisors (242601767826).

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

128432996352 is an frugal number, since it uses more digits than its factorization.

128432996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54479 (or 54442 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 128432996352 in words is "one hundred twenty-eight billion, four hundred thirty-two million, nine hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 32768 36864 49152 54437 65536 73728 98304 108874 131072 147456 163311 196608 217748 262144 294912 326622 393216 435496 489933 589824 653244 786432 870992 979866 1179648 1306488 1741984 1959732 2359296 2612976 3483968 3919464 5225952 6967936 7838928 10451904 13935872 15677856 20903808 27871744 31355712 41807616 55743488 62711424 83615232 111486976 125422848 167230464 222973952 250845696 334460928 445947904 501691392 668921856 891895808 1003382784 1337843712 1783791616 2006765568 2675687424 3567583232 4013531136 5351374848 7135166464 8027062272 10702749696 14270332928 16054124544 21405499392 32108249088 42810998784 64216498176 128432996352