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10177121097144 = 2332413447534247
BaseRepresentation
bin1001010000011000101110…
…1100000001010110111000
31100000220221001211020210100
42110012023230001112320
52313220221000102034
633351145504515400
72100162356002521
oct224061354012670
940026831736710
1010177121097144
1132741025a6941
12118448931bb60
1358a910507951
1427280a845848
15129ae4a28099
hex9418bb015b8

10177121097144 has 48 divisors (see below), whose sum is σ = 28235305491120. Its totient is φ = 3309632876160.

The previous prime is 10177121097127. The next prime is 10177121097211. The reversal of 10177121097144 is 44179012177101.

It is a self number, because there is not a number n which added to its sum of digits gives 10177121097144.

It is a congruent number.

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, 1723764172 + ... + 1723770075.

It is an arithmetic number, because the mean of its divisors is an integer number (588235531065).

Almost surely, 210177121097144 is an apocalyptic number.

It is an amenable number.

10177121097144 is an abundant number, since it is smaller than the sum of its proper divisors (18058184393976).

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

10177121097144 is a wasteful number, since it uses less digits than its factorization.

10177121097144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447534300 (or 3447534293 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 45.

The spelling of 10177121097144 in words is "ten trillion, one hundred seventy-seven billion, one hundred twenty-one million, ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3447534247 6895068494 10342602741 13790136988 20685205482 27580273976 31027808223 41370410964 62055616446 82740821928 124111232892 141348904127 248222465784 282697808254 424046712381 565395616508 848093424762 1130791233016 1272140137143 1696186849524 2544280274286 3392373699048 5088560548572 10177121097144