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145526400664533 = 3378874723183797
BaseRepresentation
bin100001000101101100000001…
…011010101100001111010101
3201002021012002002002002121000
4201011230001122230033111
5123033301032032231113
61233301523332413513
742436635604623210
oct4105540132541725
9632235062062530
10145526400664533
1142407444345219
12143a3ba9177299
1363281083ab005
1427d1730286777
1511c572048a373
hex845b016ac3d5

145526400664533 has 64 divisors (see below), whose sum is σ = 246725259448320. Its totient is φ = 83046152321856.

The previous prime is 145526400664511. The next prime is 145526400664553. The reversal of 145526400664533 is 335466004625541.

145526400664533 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 6 + 40 + 0 + 6 + 64 + 533 = 666.

It is not a de Polignac number, because 145526400664533 - 25 = 145526400664501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145526400664533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145526400664553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 791685991 + ... + 791869787.

It is an arithmetic number, because the mean of its divisors is an integer number (3855082178880).

Almost surely, 2145526400664533 is an apocalyptic number.

It is an amenable number.

145526400664533 is a deficient number, since it is larger than the sum of its proper divisors (101198858783787).

145526400664533 is a wasteful number, since it uses less digits than its factorization.

145526400664533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189423 (or 189417 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 145526400664533 in words is "one hundred forty-five trillion, five hundred twenty-six billion, four hundred million, six hundred sixty-four thousand, five hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 887 2661 4723 6209 7983 14169 18627 23949 33061 42507 55881 99183 127521 167643 183797 297549 551391 892647 1286579 1654173 3859737 4189301 4962519 11579211 12567903 29325107 34737633 37703709 87975321 113111127 163027939 263925963 489083817 791777889 868073231 1141195573 1467251451 2604219693 3423586719 4401754353 6076512617 7812659079 10270760157 18229537851 23437977237 30812280471 54688613553 164065840659 769980955897 2309942867691 5389866691279 6929828603073 16169600073837 20789485809219 48508800221511 145526400664533