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146052869376 = 283375139811
BaseRepresentation
bin1000100000000101101…
…1011110110100000000
3111221222200020111120110
42020001123132310000
54343104013310001
6151032403511320
713360216622541
oct2100133366400
9457880214513
10146052869376
1156a39045527
1224380988540
1310a078ac1cb
1470d74804c8
153bec2ee3d6
hex22016ded00

146052869376 has 72 divisors (see below), whose sum is σ = 399219477664. Its totient is φ = 47368488960.

The previous prime is 146052869341. The next prime is 146052869407. The reversal of 146052869376 is 673968250641.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2541490 + ... + 2598321.

It is a 1-persistent number, because it is pandigital, but 2⋅146052869376 = 292105738752 is not.

Almost surely, 2146052869376 is an apocalyptic number.

146052869376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146052869376 is an abundant number, since it is smaller than the sum of its proper divisors (253166608288).

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

146052869376 is an equidigital number, since it uses as much as digits as its factorization.

146052869376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139867 (or 5139853 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 146052869376 in words is "one hundred forty-six billion, fifty-two million, eight hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 28416 5139811 10279622 15419433 20559244 30838866 41118488 61677732 82236976 123355464 164473952 190173007 246710928 328947904 380346014 493421856 570519021 657895808 760692028 986843712 1141038042 1315791616 1521384056 1973687424 2282076084 3042768112 3947374848 4564152168 6085536224 9128304336 12171072448 18256608672 24342144896 36513217344 48684289792 73026434688 146052869376