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132303877696 = 2619223932
BaseRepresentation
bin111101100110111101…
…1001111011001000000
3110122111111002100200101
41323031323033121000
54131424243041241
6140440215132144
712362420255644
oct1731573173100
9418444070611
10132303877696
11511230a9591
1221784374054
13c6262a6983
146591466c24
15369524de31
hex1ecdecf640

132303877696 has 63 divisors (see below), whose sum is σ = 277201526241. Its totient is φ = 62644068864.

The previous prime is 132303877681. The next prime is 132303877711. The reversal of 132303877696 is 696778303231.

The square root of 132303877696 is 363736.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (132303877681) and next prime (132303877711).

It can be written as a sum of positive squares in only one way, i.e., 2749953600 + 129553924096 = 52440^2 + 359936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55286676 + ... + 55289068.

Almost surely, 2132303877696 is an apocalyptic number.

132303877696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132303877696 is the 363736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132303877696

132303877696 is an abundant number, since it is smaller than the sum of its proper divisors (144897648545).

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

132303877696 is an frugal number, since it uses more digits than its factorization.

132303877696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 55.

The spelling of 132303877696 in words is "one hundred thirty-two billion, three hundred three million, eight hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2393 2888 4786 5776 9572 11552 19144 23104 38288 45467 76576 90934 153152 181868 363736 727472 863873 1454944 1727746 2909888 3455492 5726449 6910984 11452898 13821968 22905796 27643936 45811592 55287872 91623184 108802531 183246368 217605062 366492736 435210124 870420248 1740840496 2067248089 3481680992 4134496178 6963361984 8268992356 16537984712 33075969424 66151938848 132303877696