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145364015511 = 321113298774441
BaseRepresentation
bin1000011101100001011…
…1101101100110010111
3111220012200001002201100
42013120113231212113
54340201141444021
6150440155201143
713334153513331
oct2073027554627
9456180032640
10145364015511
1156715219410
122420a1461b3
1310927c73280
14706dba8451
153babace626
hex21d85ed997

145364015511 has 96 divisors (see below), whose sum is σ = 255532979520. Its totient is φ = 78411110400.

The previous prime is 145364015509. The next prime is 145364015551. The reversal of 145364015511 is 115510463541.

145364015511 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 640 + 1 + 5 + 5 + 1 + 1 = 666.

It is not a de Polignac number, because 145364015511 - 21 = 145364015509 is a prime.

It is a super-2 number, since 2×1453640155112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145364015551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32730051 + ... + 32734491.

It is an arithmetic number, because the mean of its divisors is an integer number (2661801870).

Almost surely, 2145364015511 is an apocalyptic number.

145364015511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145364015511 is a deficient number, since it is larger than the sum of its proper divisors (110168964009).

145364015511 is a wasteful number, since it uses less digits than its factorization.

145364015511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 145364015511 in words is "one hundred forty-five billion, three hundred sixty-four million, fifteen thousand, five hundred eleven".

Divisors: 1 3 9 11 13 29 33 39 87 99 117 143 261 319 377 429 877 957 1131 1287 2631 2871 3393 4147 4441 7893 9647 11401 12441 13323 25433 28941 34203 37323 39969 48851 57733 76299 86823 102609 125411 128789 146553 173199 228897 279763 330629 376233 386367 439659 519597 635063 839289 991887 1128699 1159101 1416679 1674257 1905189 2517867 2975661 3636919 3894757 4250037 5022771 5715567 10910757 11684271 12750111 15068313 18416827 32732271 35052813 42842327 50631841 55250481 112947953 128526981 151895523 165751443 338843859 385580943 455686569 556950251 1016531577 1242427483 1468323389 1670850753 3727282449 4404970167 5012552259 11181847347 13214910501 16151557279 48454671837 145364015511