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5465623416 = 23311157163809
BaseRepresentation
bin1010001011100011…
…01100101101111000
3112002220112102210220
411011301230231320
542143144422131
62302203140040
7252305014101
oct50561545570
915086472726
105465623416
112355224850
121086514620
136914688c6
1439bc693a8
1521ec7de96
hex145c6cb78

5465623416 has 128 divisors (see below), whose sum is σ = 15111878400. Its totient is φ = 1633582080.

The previous prime is 5465623409. The next prime is 5465623433. The reversal of 5465623416 is 6143265645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6755620 + ... + 6756428.

It is an arithmetic number, because the mean of its divisors is an integer number (118061550).

Almost surely, 25465623416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5465623416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555939200).

5465623416 is an abundant number, since it is smaller than the sum of its proper divisors (9646254984).

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

5465623416 is a wasteful number, since it uses less digits than its factorization.

5465623416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1145 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 5465623416 is about 73929.8547002495. The cubic root of 5465623416 is about 1761.4888632544.

It can be divided in two parts, 5465 and 623416, that added together give a triangular number (628881 = T1121).

The spelling of 5465623416 in words is "five billion, four hundred sixty-five million, six hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 163 264 314 326 471 489 628 652 809 942 978 1256 1304 1618 1727 1793 1884 1956 2427 3236 3454 3586 3768 3912 4854 5181 5379 6472 6908 7172 8899 9708 10362 10758 13816 14344 17798 19416 20724 21516 25591 26697 35596 41448 43032 51182 53394 71192 76773 102364 106788 127013 131867 153546 204728 213576 254026 263734 281501 307092 381039 395601 508052 527468 563002 614184 762078 791202 844503 1016104 1054936 1126004 1397143 1450537 1524156 1582404 1689006 2252008 2794286 2901074 3048312 3164808 3378012 4191429 4351611 5588572 5802148 6756024 8382858 8703222 11177144 11604296 16765716 17406444 20703119 33531432 34812888 41406238 62109357 82812476 124218714 165624952 227734309 248437428 455468618 496874856 683202927 910937236 1366405854 1821874472 2732811708 5465623416