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8045234325408 = 253795312562513
BaseRepresentation
bin111010100010010110101…
…0101011000011110100000
31001111010011012202012221210
41311010231111120132200
52023303114441403113
625035532444350120
71460151256304040
oct165045525303640
931433135665853
108045234325408
112621a68046445
12a9b278845340
1346487c21a297
141db56a0a7720
15de41d23d6c3
hex7512d5587a0

8045234325408 has 96 divisors (see below), whose sum is σ = 24161030925696. Its totient is φ = 2296226193408.

The previous prime is 8045234325391. The next prime is 8045234325467.

8045234325408 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5640841 + ... + 6921672.

It is an arithmetic number, because the mean of its divisors is an integer number (251677405476).

Almost surely, 28045234325408 is an apocalyptic number.

It is an amenable number.

8045234325408 is an abundant number, since it is smaller than the sum of its proper divisors (16115796600288).

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

8045234325408 is a wasteful number, since it uses less digits than its factorization.

8045234325408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12563486 (or 12563478 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 8045234325408 in words is "eight trillion, forty-five billion, two hundred thirty-four million, three hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 953 1906 2859 3812 5718 6671 7624 11436 13342 15248 20013 22872 26684 30496 40026 45744 53368 80052 91488 106736 160104 213472 320208 640416 12562513 25125026 37687539 50250052 75375078 87937591 100500104 150750156 175875182 201000208 263812773 301500312 351750364 402000416 527625546 603000624 703500728 1055251092 1206001248 1407001456 2110502184 2814002912 4221004368 8442008736 11972074889 23944149778 35916224667 47888299556 71832449334 83804524223 95776599112 143664898668 167609048446 191553198224 251413572669 287329797336 335218096892 383106396448 502827145338 574659594672 670436193784 1005654290676 1149319189344 1340872387568 2011308581352 2681744775136 4022617162704 8045234325408