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1087480325376 = 2833315075233
BaseRepresentation
bin11111101001100101110…
…00001110010100000000
310211221222101002101211000
433310302320032110000
5120304124430403001
62151325341252000
7141365530151304
oct17646270162400
93757871071730
101087480325376
1138a21a325165
12156916b64000
137b71a090393
143a8c4851d04
151d44b7cca86
hexfd32e0e500

1087480325376 has 144 divisors (see below), whose sum is σ = 3319609054720. Its totient is φ = 350800035840.

The previous prime is 1087480325363. The next prime is 1087480325377. The reversal of 1087480325376 is 6735230847801.

It is a happy number.

1087480325376 is a `hidden beast` number, since 1 + 0 + 8 + 74 + 8 + 0 + 32 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10874803253762 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087480325377) 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, 2323345 + ... + 2751888.

Almost surely, 21087480325376 is an apocalyptic number.

1087480325376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1087480325376 is an abundant number, since it is smaller than the sum of its proper divisors (2232128729344).

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

1087480325376 is an equidigital number, since it uses as much as digits as its factorization.

1087480325376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075289 (or 5075269 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1087480325376 in words is "one trillion, eighty-seven billion, four hundred eighty million, three hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 5952 6696 6912 7936 8928 11904 13392 17856 23808 26784 35712 53568 71424 107136 214272 5075233 10150466 15225699 20300932 30451398 40601864 45677097 60902796 81203728 91354194 121805592 137031291 157332223 162407456 182708388 243611184 274062582 314664446 324814912 365416776 471996669 487222368 548125164 629328892 649629824 730833552 943993338 974444736 1096250328 1258657784 1299259648 1415990007 1461667104 1887986676 1948889472 2192500656 2517315568 2831980014 2923334208 3775973352 3897778944 4247970021 4385001312 5034631136 5663960028 5846668416 7551946704 8495940042 8770002624 10069262272 11327920056 11693336832 15103893408 16991880084 17540005248 20138524544 22655840112 30207786816 33983760168 35080010496 40277049088 45311680224 60415573632 67967520336 90623360448 120831147264 135935040672 181246720896 271870081344 362493441792 543740162688 1087480325376