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3150264231936 = 21132874119553
BaseRepresentation
bin101101110101111010011…
…000010110100000000000
3102011011101022221011101200
4231311322120112200000
5403103220120410221
610411113355301200
7443412325103613
oct55657230264000
912134338834350
103150264231936
111005024039228
1242a66114a800
1319b0b7a65903
14ac68b7ca17a
1556e2b619426
hex2dd7a616800

3150264231936 has 144 divisors (see below), whose sum is σ = 9100047754980. Its totient is φ = 1049914245120.

The previous prime is 3150264231923. The next prime is 3150264231953. The reversal of 3150264231936 is 6391324620513.

3150264231936 is a `hidden beast` number, since 3 + 15 + 0 + 26 + 423 + 193 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3149063193600 + 1201038336 = 1774560^2 + 34656^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3150264231891 and 3150264231900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161104336 + ... + 161123888.

Almost surely, 23150264231936 is an apocalyptic number.

3150264231936 is a gapful number since it is divisible by the number (36) 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 3150264231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550023877490).

3150264231936 is an abundant number, since it is smaller than the sum of its proper divisors (5949783523044).

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

3150264231936 is a wasteful number, since it uses less digits than its factorization.

3150264231936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28322 (or 28299 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3150264231936 in words is "three trillion, one hundred fifty billion, two hundred sixty-four million, two hundred thirty-one thousand, nine hundred thirty-six".

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 4608 6144 8741 9216 17482 18432 19553 26223 34964 39106 52446 58659 69928 78212 78669 104892 117318 139856 156424 157338 175977 209784 234636 279712 312848 314676 351954 419568 469272 559424 625696 629352 703908 839136 938544 1118848 1251392 1258704 1407816 1678272 1877088 2237696 2502784 2517408 2815632 3356544 3754176 4475392 5005568 5034816 5631264 6713088 7508352 8950784 10011136 10069632 11262528 13426176 15016704 17901568 20022272 20139264 22525056 26852352 30033408 40044544 40278528 45050112 53704704 60066816 80557056 90100224 120133632 161114112 170912773 180200448 341825546 360400896 512738319 683651092 1025476638 1367302184 1538214957 2050953276 2734604368 3076429914 4101906552 5469208736 6152859828 8203813104 10938417472 12305719656 16407626208 21876834944 24611439312 32815252416 43753669888 49222878624 65630504832 87507339776 98445757248 131261009664 175014679552 196891514496 262522019328 350029359104 393783028992 525044038656 787566057984 1050088077312 1575132115968 3150264231936