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45303695563204 = 2213283231192
BaseRepresentation
bin10100100110100000101101…
…01011100101100111000100
312221101222202102211020011001
422103100112223211213010
521414223432031010304
6240204121434423044
712354040544356141
oct1223202653454704
9187358672736131
1045303695563204
111348720a0981a1
1250b81abb91a84
131c38173cb9900
14b289d3b0b3c8
155386be288da4
hex293416ae59c4

45303695563204 has 81 divisors (see below), whose sum is σ = 86923820911053. Its totient is φ = 20650854385824.

The previous prime is 45303695563201. The next prime is 45303695563223. The reversal of 45303695563204 is 40236559630354.

It is a happy number.

The square root of 45303695563204 is 6730802.

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

45303695563204 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6701730112900 + 38601965450304 = 2588770^2 + 6213048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45303695563201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14525069157 + ... + 14525072275.

Almost surely, 245303695563204 is an apocalyptic number.

45303695563204 is the 6730802-nd square number.

It is an amenable number.

45303695563204 is a deficient number, since it is larger than the sum of its proper divisors (41620125347849).

45303695563204 is an frugal number, since it uses more digits than its factorization.

45303695563204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 55.

The spelling of 45303695563204 in words is "forty-five trillion, three hundred three billion, six hundred ninety-five million, five hundred sixty-three thousand, two hundred four".

Divisors: 1 2 4 13 26 52 83 166 169 332 338 676 1079 2158 3119 4316 6238 6889 12476 13778 14027 27556 28054 40547 56108 81094 89557 162188 179114 258877 358228 517754 527111 1035508 1054222 1164241 2108444 2328482 3365401 4656964 6730802 9728161 13461604 19456322 21486791 38912644 42973582 43750213 85947164 87500426 126466093 175000852 252932186 279328283 505864372 558656566 807437363 1117313132 1614874726 1644059209 3229749452 3288118418 3631267679 6576236836 7262535358 10496685719 14525070716 20993371438 41986742876 67017301129 134034602258 136456914347 268069204516 272913828694 545827657388 871224914677 1742449829354 3484899658708 11325923890801 22651847781602 45303695563204