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146369706072 = 233231482117891
BaseRepresentation
bin1000100001010001010…
…0000111100001011000
3111222210202102110210220
42020110110013201120
54344231121043242
6151124042440040
713401114654642
oct2102424074130
9458722373726
10146369706072
1157090979637
122444ab03020
1310a58423645
147127597892
153c1a036bec
hex2214507858

146369706072 has 64 divisors (see below), whose sum is σ = 381881122560. Its totient is φ = 46662844800.

The previous prime is 146369706061. The next prime is 146369706073. The reversal of 146369706072 is 270607963641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146369706073) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8172247 + ... + 8190137.

It is an arithmetic number, because the mean of its divisors is an integer number (5966892540).

Almost surely, 2146369706072 is an apocalyptic number.

146369706072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146369706072 is an abundant number, since it is smaller than the sum of its proper divisors (235511416488).

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

146369706072 is a wasteful number, since it uses less digits than its factorization.

146369706072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32744 (or 32740 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 146369706072 in words is "one hundred forty-six billion, three hundred sixty-nine million, seven hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 14821 17891 29642 35782 44463 53673 59284 71564 88926 107346 118568 143128 177852 214692 340883 355704 411493 429384 681766 822986 1022649 1234479 1363532 1645972 2045298 2468958 2727064 3291944 4090596 4937916 8181192 9875832 265162511 530325022 795487533 1060650044 1590975066 2121300088 3181950132 6098737753 6363900264 12197475506 18296213259 24394951012 36592426518 48789902024 73184853036 146369706072