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146023055532 = 2235791901639
BaseRepresentation
bin1000011111111110100…
…1110000000010101100
3111221220121010210200000
42013333221300002230
54343023400234112
6151025420504300
713356405330654
oct2077751600254
9457817123600
10146023055532
1156a23231992
12243729ab090
1310a01670b93
1470d351d364
153be98b07dc
hex21ffa700ac

146023055532 has 72 divisors (see below), whose sum is σ = 387630297600. Its totient is φ = 48058195536.

The previous prime is 146023055531. The next prime is 146023055539. The reversal of 146023055532 is 235550320641.

146023055532 is a `hidden beast` number, since 1 + 46 + 0 + 2 + 30 + 55 + 532 = 666.

146023055532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146023055531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874032 + ... + 1027607.

Almost surely, 2146023055532 is an apocalyptic number.

146023055532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146023055532 is an abundant number, since it is smaller than the sum of its proper divisors (241607242068).

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

146023055532 is a wasteful number, since it uses less digits than its factorization.

146023055532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901737 (or 1901723 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 146023055532 in words is "one hundred forty-six billion, twenty-three million, fifty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 474 486 711 948 972 1422 2133 2844 4266 6399 8532 12798 19197 25596 38394 76788 1901639 3803278 5704917 7606556 11409834 17114751 22819668 34229502 51344253 68459004 102688506 150229481 154032759 205377012 300458962 308065518 450688443 462098277 600917924 616131036 901376886 924196554 1352065329 1802753772 1848393108 2704130658 4056195987 5408261316 8112391974 12168587961 16224783948 24337175922 36505763883 48674351844 73011527766 146023055532