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132036601984 = 277675933709
BaseRepresentation
bin111101011110111111…
…1101010100010000000
3110121210212011100022221
41322331333222202000
54130402332230414
6140353510340424
712352663412320
oct1727577524200
9417725140287
10132036601984
1150aa6246371
122170a95a714
13c5b2ac5b71
146567b71280
15367ba56224
hex1ebdfea880

132036601984 has 128 divisors (see below), whose sum is σ = 305702812800. Its totient is φ = 55633526784.

The previous prime is 132036601967. The next prime is 132036601987. The reversal of 132036601984 is 489106630231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 132036601984.

It is not an unprimeable number, because it can be changed into a prime (132036601987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35597122 + ... + 35600830.

It is an arithmetic number, because the mean of its divisors is an integer number (2388303225).

Almost surely, 2132036601984 is an apocalyptic number.

132036601984 is a gapful number since it is divisible by the number (14) 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 132036601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152851406400).

132036601984 is an abundant number, since it is smaller than the sum of its proper divisors (173666210816).

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

132036601984 is an equidigital number, since it uses as much as digits as its factorization.

132036601984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 132036601984 in words is "one hundred thirty-two billion, thirty-six million, six hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 448 469 536 593 896 938 1072 1186 1876 2144 2372 3709 3752 4151 4288 4744 7418 7504 8302 8576 9488 14836 15008 16604 18976 25963 29672 30016 33208 37952 39731 51926 59344 60032 66416 75904 79462 103852 118688 132832 158924 207704 237376 248503 265664 278117 317848 415408 474752 497006 531328 556234 635696 830816 994012 1112468 1271392 1661632 1739521 1988024 2199437 2224936 2542784 3323264 3479042 3976048 4398874 4449872 5085568 6958084 7952096 8797748 8899744 13916168 15396059 15904192 17595496 17799488 27832336 30792118 31808384 35190992 35598976 55664672 61584236 70381984 111329344 123168472 140763968 147362279 222658688 246336944 281527936 294724558 492673888 589449116 985347776 1031535953 1178898232 1970695552 2063071906 2357796464 4126143812 4715592928 8252287624 9431185856 16504575248 18862371712 33009150496 66018300992 132036601984