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1399664089476 = 223223285732
BaseRepresentation
bin10100010111100010011…
…110110001100110000100
311221210202222220202212100
4110113202132301212010
5140413003001330401
62550555150552100
7203056660314042
oct24274236614604
94853688822770
101399664089476
1149a659986794
121a7320808630
13a1cac144a53
144ba5bb69392
152661d90ab86
hex145e27b1984

1399664089476 has 81 divisors (see below), whose sum is σ = 3698987233669. Its totient is φ = 446217654432.

The previous prime is 1399664089457. The next prime is 1399664089477. The reversal of 1399664089476 is 6749804669931.

The square root of 1399664089476 is 1183074.

It is a perfect power (a square), and thus also a powerful number.

1399664089476 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 66 + 408 + 94 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 452592562500 + 947071526976 = 672750^2 + 973176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1399664089477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 163259926 + ... + 163268498.

Almost surely, 21399664089476 is an apocalyptic number.

1399664089476 is the 1183074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399664089476

1399664089476 is an abundant number, since it is smaller than the sum of its proper divisors (2299323144193).

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

1399664089476 is an frugal number, since it uses more digits than its factorization.

1399664089476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17202 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 1399664089476 in words is "one trillion, three hundred ninety-nine billion, six hundred sixty-four million, eighty-nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 8573 9522 17146 19044 25719 34292 51438 77157 102876 154314 197179 308628 394358 591537 788716 1183074 1774611 2366148 3549222 4535117 7098444 9070234 13605351 18140468 27210702 40816053 54421404 73496329 81632106 146992658 163264212 220488987 293985316 440977974 661466961 881955948 1322933922 1690415567 2645867844 3380831134 5071246701 6761662268 10142493402 15213740103 20284986804 30427480206 38879558041 60854960412 77759116082 116638674123 155518232164 233277348246 349916022369 466554696492 699832044738 1399664089476