Search a number
-
+
150516006354 = 23376116094057
BaseRepresentation
bin1000110000101101110…
…0111111110111010010
3112101111201102100112000
42030023130333313102
54431224044200404
6153051320214430
713605632641650
oct2141334776722
9471451370460
10150516006354
11589193a838a
122520760a416
1311269449c6c
1473dc111dd0
153dae05a339
hex230b73fdd2

150516006354 has 128 divisors (see below), whose sum is σ = 388866777600. Its totient is φ = 42262871040.

The previous prime is 150516006343. The next prime is 150516006379. The reversal of 150516006354 is 453600615051.

150516006354 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 16 + 0 + 0 + 635 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37098294 + ... + 37102350.

It is an arithmetic number, because the mean of its divisors is an integer number (3038021700).

Almost surely, 2150516006354 is an apocalyptic number.

150516006354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150516006354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194433388800).

150516006354 is an abundant number, since it is smaller than the sum of its proper divisors (238350771246).

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

150516006354 is a wasteful number, since it uses less digits than its factorization.

150516006354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 150516006354 in words is "one hundred fifty billion, five hundred sixteen million, six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 854 1098 1281 1609 1647 2562 3218 3294 3843 4057 4827 7686 8114 9654 11263 11529 12171 14481 22526 23058 24342 28399 28962 33789 36513 43443 56798 67578 73026 85197 86886 98149 101367 109539 170394 196298 202734 219078 247477 255591 294447 304101 494954 511182 588894 608202 687043 742431 766773 883341 1374086 1484862 1533546 1732339 1766682 2061129 2227293 2650023 3464678 4122258 4454586 5197017 5300046 6183387 6527713 6681879 10394034 12366774 13055426 13363758 15591051 18550161 19583139 31182102 37100322 39166278 45693991 46773153 58749417 91387982 93546306 117498834 137081973 176248251 274163946 352496502 398190493 411245919 796380986 822491838 1194571479 1233737757 2389142958 2467475514 2787333451 3583714437 5574666902 7167428874 8362000353 10751143311 16724000706 21502286622 25086001059 50172002118 75258003177 150516006354