Search a number
-
+
150514856478 = 23373714972227
BaseRepresentation
bin1000110000101101100…
…0100111001000011110
3112101111122020221012000
42030023120213020132
54431223300401403
6153051235423130
713605620112360
oct2141330471036
9471448227160
10150514856478
1158918792478
1225207154aa6
131126913676c
1473dbcd2d30
153daddce7a3
hex230b62721e

150514856478 has 128 divisors (see below), whose sum is σ = 395231616000. Its totient is φ = 41560573824.

The previous prime is 150514856423. The next prime is 150514856491. The reversal of 150514856478 is 874658415051.

150514856478 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 1 + 4 + 8 + 564 + 78 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2047801 + ... + 2120027.

It is an arithmetic number, because the mean of its divisors is an integer number (3087747000).

Almost surely, 2150514856478 is an apocalyptic number.

150514856478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150514856478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197615808000).

150514856478 is an abundant number, since it is smaller than the sum of its proper divisors (244716759522).

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

150514856478 is a wasteful number, since it uses less digits than its factorization.

150514856478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72431 (or 72425 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 150514856478 in words is "one hundred fifty billion, five hundred fourteen million, eight hundred fifty-six thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 149 189 222 259 298 333 378 447 518 666 777 894 999 1043 1341 1554 1998 2086 2331 2682 3129 4023 4662 5513 6258 6993 8046 9387 11026 13986 16539 18774 28161 33078 38591 49617 56322 72227 77182 99234 115773 144454 148851 216681 231546 297702 347319 433362 505589 650043 694638 1011178 1041957 1300086 1516767 1950129 2083914 2672399 3033534 3900258 4550301 5344798 8017197 9100602 10761823 13650903 16034394 18706793 21523646 24051591 27301806 32285469 37413586 48103182 56120379 64570938 72154773 75332761 96856407 112240758 144309546 150665522 168361137 193712814 225998283 290569221 336722274 398187451 451996566 505083411 581138442 677994849 796374902 1010166822 1194562353 1355989698 2033984547 2389124706 2787312157 3583687059 4067969094 5574624314 7167374118 8361936471 10751061177 16723872942 21502122354 25085809413 50171618826 75257428239 150514856478