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78990411399025 = 5272197212892
BaseRepresentation
bin10001111101011101100011…
…011010010111111101110001
3101100200102001120210012101111
4101331131203122113331301
540323134330304232100
6435555405525033321
722431604013445400
oct2175354332277561
9340612046705344
1078990411399025
1123194710a60435
128a38a54b55841
13350c9c11ac0b9
141571228cb9637
1591eac64ca6ba
hex47d763697f71

78990411399025 has 81 divisors (see below), whose sum is σ = 114609861752259. Its totient is φ = 53848097506560.

The previous prime is 78990411399017. The next prime is 78990411399037. The reversal of 78990411399025 is 52099311409987.

The square root of 78990411399025 is 8887655.

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

It can be written as a sum of positive squares in 13 ways, for example, as 209023610481 + 78781387788544 = 457191^2 + 8875888^2 .

It is not a de Polignac number, because 78990411399025 - 23 = 78990411399017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61280380581 + ... + 61280381869.

Almost surely, 278990411399025 is an apocalyptic number.

78990411399025 is the 8887655-th square number.

78990411399025 is the 4443828-th centered octagonal number.

It is an amenable number.

78990411399025 is a deficient number, since it is larger than the sum of its proper divisors (35619450353234).

78990411399025 is an frugal number, since it uses more digits than its factorization.

78990411399025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 67.

The spelling of 78990411399025 in words is "seventy-eight trillion, nine hundred ninety billion, four hundred eleven million, three hundred ninety-nine thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 197 245 985 1225 1289 1379 4925 6445 6895 9023 9653 32225 34475 38809 45115 48265 63161 194045 225575 241325 253933 271663 315805 970225 1269665 1358315 1579025 1661521 1777531 1901641 6348325 6791575 8307605 8887655 9508205 11630647 12442717 41538025 44438275 47541025 50024801 58153235 62213585 81414529 250124005 290766175 311067925 327319637 350173607 407072645 1250620025 1636598185 1750868035 2035363225 2291237459 2451215249 8182990925 8754340175 11456187295 12256076245 16038662213 57280936475 61280381225 64481968489 80193311065 322409842445 400966555325 451373779423 1612049212225 2256868897115 3159616455961 11284344485575 15798082279805 78990411399025