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1346075000226 = 2331197130117957
BaseRepresentation
bin10011100101101000010…
…100100111110110100010
311202200110021120222101000
4103211220110213312202
5134023230200001401
62510213414452430
7166151664501165
oct23455024476642
94680407528330
101346075000226
1147995a277880
12198a65964116
1399c1b945198
14492168c9adc
1525033e0c186
hex13968527da2

1346075000226 has 128 divisors (see below), whose sum is σ = 3299571313920. Its totient is φ = 403363584000.

The previous prime is 1346075000209. The next prime is 1346075000233. The reversal of 1346075000226 is 6220005706431.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74952040 + ... + 74969996.

It is an arithmetic number, because the mean of its divisors is an integer number (25777900890).

Almost surely, 21346075000226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346075000226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649785656960).

1346075000226 is an abundant number, since it is smaller than the sum of its proper divisors (1953496313694).

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

1346075000226 is a wasteful number, since it uses less digits than its factorization.

1346075000226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19377 (or 19371 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1346075000226 in words is "one trillion, three hundred forty-six billion, seventy-five million, two hundred twenty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 194 198 291 297 582 594 873 1067 1301 1746 2134 2602 2619 3201 3903 5238 6402 7806 9603 11709 14311 17957 19206 23418 28622 28809 35127 35914 42933 53871 57618 70254 85866 107742 126197 128799 161613 197527 252394 257598 323226 378591 386397 395054 484839 592581 757182 772794 969678 1135773 1185162 1388167 1741829 1777743 2271546 2776334 3407319 3483658 3555486 4164501 5225487 5333229 6814638 8329002 10450974 10666458 12493503 15676461 19160119 23362057 24987006 31352922 37480509 38320238 46724114 47029383 57480357 70086171 74961018 94058766 114960714 140172342 172441071 210258513 256982627 344882142 420517026 513965254 517323213 630775539 770947881 1034646426 1261551078 1541895762 2266119529 2312843643 4532239058 4625687286 6798358587 6938530929 13596717174 13877061858 20395075761 24927314819 40790151522 49854629638 61185227283 74781944457 122370454566 149563888914 224345833371 448691666742 673037500113 1346075000226