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146325066672 = 243712604729
BaseRepresentation
bin1000100001000110100…
…1110101001110110000
3111222200122102120001210
42020101221311032300
54344133204113142
6151115410000120
713400033354631
oct2102151651660
9458618376053
10146325066672
115706875a374
1224437b76040
1310a4c0c41b5
147121697888
153c1616a49c
hex2211a753b0

146325066672 has 60 divisors (see below), whose sum is σ = 383406076760. Its totient is φ = 48087970560.

The previous prime is 146325066653. The next prime is 146325066689. The reversal of 146325066672 is 276660523641.

It is a super-2 number, since 2×1463250666722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60397 + ... + 544332.

Almost surely, 2146325066672 is an apocalyptic number.

146325066672 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 146325066672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191703038380).

146325066672 is an abundant number, since it is smaller than the sum of its proper divisors (237081010088).

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

146325066672 is an equidigital number, since it uses as much as digits as its factorization.

146325066672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604882 (or 604805 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 146325066672 in words is "one hundred forty-six billion, three hundred twenty-five million, sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 5041 10082 15123 20164 30246 40328 60492 80656 120984 241968 604729 1209458 1814187 2418916 3628374 4837832 7256748 9675664 14513496 29026992 42935759 85871518 128807277 171743036 257614554 343486072 515229108 686972144 1030458216 2060916432 3048438889 6096877778 9145316667 12193755556 18290633334 24387511112 36581266668 48775022224 73162533336 146325066672