Search a number
-
+
148151859012 = 223217389653953
BaseRepresentation
bin1000100111111010001…
…0011111011101000100
3112011101221212020001100
42021332202133131010
54411403333442022
6152020544300100
713463225011053
oct2117642373504
9464357766040
10148151859012
1157915953503
1224867911630
1310c80705201
14725614639a
153cc17171ac
hex227e89f744

148151859012 has 144 divisors (see below), whose sum is σ = 398570019120. Its totient is φ = 46239965184.

The previous prime is 148151859001. The next prime is 148151859013. The reversal of 148151859012 is 210958151841.

148151859012 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 51 + 8 + 590 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4454761536 + 143697097476 = 66744^2 + 379074^2 .

It is a super-2 number, since 2×1481518590122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148151859013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155457928 + ... + 155458880.

It is an arithmetic number, because the mean of its divisors is an integer number (2767847355).

Almost surely, 2148151859012 is an apocalyptic number.

148151859012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148151859012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199285009560).

148151859012 is an abundant number, since it is smaller than the sum of its proper divisors (250418160108).

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

148151859012 is a wasteful number, since it uses less digits than its factorization.

148151859012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 148151859012 in words is "one hundred forty-eight billion, one hundred fifty-one million, eight hundred fifty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 389 612 653 778 953 1167 1306 1556 1906 1959 2334 2612 2859 3501 3812 3918 4668 5718 5877 6613 7002 7836 8577 11101 11436 11754 13226 14004 16201 17154 19839 22202 23508 26452 32402 33303 34308 39678 44404 48603 59517 64804 66606 79356 97206 99909 119034 133212 145809 194412 199818 238068 254017 291618 370717 399636 508034 583236 622309 741434 762051 1016068 1112151 1244618 1482868 1524102 1866927 2224302 2286153 2489236 3048204 3336453 3733854 4318289 4448604 4572306 5600781 6302189 6672906 7467708 8636578 9144612 10579253 11201562 12604378 12954867 13345812 17273156 18906567 21158506 22403124 25208756 25909734 31737759 37813134 38864601 42317012 51819468 56719701 63475518 75626268 77729202 95213277 113439402 126951036 155458404 190426554 226878804 242078201 380853108 484156402 726234603 968312804 1452469206 2178703809 2904938412 4115329417 4357407618 8230658834 8714815236 12345988251 16461317668 24691976502 37037964753 49383953004 74075929506 148151859012