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145553975472 = 24353210392
BaseRepresentation
bin1000011110001110110…
…0010110100010110000
3111220200220111001210110
42013203230112202300
54341043304203342
6150511102501320
713341651243423
oct2074354264260
9456626431713
10145553975472
1156802474114
1224261894840
1310958423709
14708b0d59ba
153bbd603c9c
hex21e3b168b0

145553975472 has 90 divisors (see below), whose sum is σ = 383612121732. Its totient is φ = 47556742272.

The previous prime is 145553975471. The next prime is 145553975477. The reversal of 145553975472 is 274579355541.

It is not an unprimeable number, because it can be changed into a prime (145553975471) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 140089929 + ... + 140090967.

Almost surely, 2145553975472 is an apocalyptic number.

145553975472 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 145553975472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191806060866).

145553975472 is an abundant number, since it is smaller than the sum of its proper divisors (238058146260).

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

145553975472 is an frugal number, since it uses more digits than its factorization.

145553975472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 1097 counting only the distinct ones).

The product of its digits is 26460000, while the sum is 57.

The spelling of 145553975472 in words is "one hundred forty-five billion, five hundred fifty-three million, nine hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1039 1272 2078 2544 2809 3117 4156 5618 6234 8312 8427 11236 12468 16624 16854 22472 24936 33708 44944 49872 55067 67416 110134 134832 165201 220268 330402 440536 660804 881072 1079521 1321608 2159042 2643216 2918551 3238563 4318084 5837102 6477126 8636168 8755653 11674204 12954252 17272336 17511306 23348408 25908504 35022612 46696816 51817008 57214613 70045224 114429226 140090448 171643839 228858452 343287678 457716904 686575356 915433808 1373150712 2746301424 3032374489 6064748978 9097123467 12129497956 18194246934 24258995912 36388493868 48517991824 72776987736 145553975472