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145203736576 = 21276946099
BaseRepresentation
bin1000011100111011010…
…0010011000000000000
3111212210111110002100111
42013032310103000000
54334334124032301
6150412232001104
713330166252653
oct2071664230000
9455714402314
10145203736576
11566427a6488
1224184530194
13109009b5872
1470567a589a
153b9c9be551
hex21ced13000

145203736576 has 52 divisors (see below), whose sum is σ = 290755927000. Its totient is φ = 72505884672.

The previous prime is 145203736567. The next prime is 145203736589. The reversal of 145203736576 is 675637302541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3126775 + ... + 3172873.

Almost surely, 2145203736576 is an apocalyptic number.

145203736576 is a gapful number since it is divisible by the number (16) 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 145203736576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145377963500).

145203736576 is an abundant number, since it is smaller than the sum of its proper divisors (145552190424).

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

145203736576 is an frugal number, since it uses more digits than its factorization.

145203736576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46892 (or 46870 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 145203736576 in words is "one hundred forty-five billion, two hundred three million, seven hundred thirty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 769 1024 1538 2048 3076 4096 6152 12304 24608 46099 49216 92198 98432 184396 196864 368792 393728 737584 787456 1475168 1574912 2950336 3149824 5900672 11801344 23602688 35450131 47205376 70900262 94410752 141800524 188821504 283601048 567202096 1134404192 2268808384 4537616768 9075233536 18150467072 36300934144 72601868288 145203736576