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145766934404 = 227213193010967
BaseRepresentation
bin1000011111000001100…
…0101110011110000100
3111221020202012111112022
42013300120232132010
54342012313400104
6150544151142312
713350145333100
oct2076030563604
9457222174468
10145766934404
11569016a8333
1224301074998
1310990597310
1470ab4cc900
153bd216cbbe
hex21f062e784

145766934404 has 72 divisors (see below), whose sum is σ = 336385344960. Its totient is φ = 54630967104.

The previous prime is 145766934371. The next prime is 145766934407. The reversal of 145766934404 is 404439667541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (145766934407) 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 23 ways as a sum of consecutive naturals, for example, 1457072 + ... + 1553895.

It is an arithmetic number, because the mean of its divisors is an integer number (4672018680).

Almost surely, 2145766934404 is an apocalyptic number.

145766934404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145766934404 is an abundant number, since it is smaller than the sum of its proper divisors (190618410556).

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

145766934404 is a wasteful number, since it uses less digits than its factorization.

145766934404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011017 (or 3011008 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 53.

The spelling of 145766934404 in words is "one hundred forty-five billion, seven hundred sixty-six million, nine hundred thirty-four thousand, four hundred four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 494 532 637 931 988 1274 1729 1862 2548 3458 3724 6916 12103 24206 48412 3010967 6021934 12043868 21076769 39142571 42153538 57208373 78285142 84307076 114416746 147537383 156570284 228833492 273997997 295074766 400458611 547995994 590149532 743708849 800917222 1095991988 1487417698 1601834444 1917985979 2803210277 2974835396 3835971958 5205961943 5606420554 7671943916 10411923886 11212841108 20823847772 36441733601 72883467202 145766934404