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145824015972 = 223113831067557
BaseRepresentation
bin1000011111001111001…
…0011110011001100100
3111221101201121112201110
42013303302132121210
54342121422002342
6150553550425020
713351440453465
oct2076362363144
9457351545643
10145824015972
1156930945588
1224318202170
131099c361aab
1470b4d0ad6c
153bd7195c9c
hex21f3c9e664

145824015972 has 24 divisors (see below), whose sum is σ = 340286247616. Its totient is φ = 48603689568.

The previous prime is 145824015949. The next prime is 145824016081. The reversal of 145824015972 is 279510428541.

It is a super-2 number, since 2×1458240159722 (a number of 23 digits) contains 22 as substring.

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, 397183 + ... + 670374.

Almost surely, 2145824015972 is an apocalyptic number.

145824015972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145824015972 is an abundant number, since it is smaller than the sum of its proper divisors (194462231644).

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

145824015972 is a wasteful number, since it uses less digits than its factorization.

145824015972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078947 (or 1078945 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 145824015972 in words is "one hundred forty-five billion, eight hundred twenty-four million, fifteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 11383 22766 34149 45532 68298 136596 1067557 2135114 3202671 4270228 6405342 12810684 12152001331 24304002662 36456003993 48608005324 72912007986 145824015972