Search a number
-
+
15145005516501 = 378937928337547
BaseRepresentation
bin1101110001100011100010…
…1011001000011011010101
31222121211220110210211202210
43130120320223020123111
53441113432403012001
652113304113024033
73122122232560350
oct334307053103325
958554813724683
1015145005516501
114909a6286a313
121847253855019
1385b224b22253
143a5044bdd297
151b3e52a2bdd6
hexdc638ac86d5

15145005516501 has 64 divisors (see below), whose sum is σ = 23410345420800. Its totient is φ = 8530328733696.

The previous prime is 15145005516439. The next prime is 15145005516523. The reversal of 15145005516501 is 10561550054151.

15145005516501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15145005516501 - 29 = 15145005515989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 15145005516501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15145005516541) 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, 2006754610 + ... + 2006762156.

It is an arithmetic number, because the mean of its divisors is an integer number (365786647200).

Almost surely, 215145005516501 is an apocalyptic number.

It is an amenable number.

15145005516501 is a deficient number, since it is larger than the sum of its proper divisors (8265339904299).

15145005516501 is a wasteful number, since it uses less digits than its factorization.

15145005516501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10858.

The product of its (nonzero) digits is 75000, while the sum is 39.

The spelling of 15145005516501 in words is "fifteen trillion, one hundred forty-five billion, five million, five hundred sixteen thousand, five hundred one".

Divisors: 1 3 7 21 89 267 379 623 1137 1869 2653 2833 7547 7959 8499 19831 22641 33731 52829 59493 101193 158487 236117 252137 671683 708351 756411 1073707 1764959 2015049 2860313 3221121 4701781 5294877 7515949 8580939 14105343 20022191 21380651 22547847 60066573 64141953 95559923 149664557 254567857 286679769 448993671 668919461 763703571 1781974999 1902877939 2006758383 5345924997 5708633817 8103266729 13320145573 24309800187 39960436719 56722867103 170168601309 721190738881 2163572216643 5048335172167 15145005516501