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146813333472 = 25321339212963
BaseRepresentation
bin1000100010111011000…
…0011010111111100000
3112000221200012002012100
42020232300122333200
54401133203132342
6151240051130400
713415112513201
oct2105660327740
9460850162170
10146813333472
1157299332453
12245535a3a00
1310ac92cb870
14716a4775a8
153c43e66e4c
hex222ec1afe0

146813333472 has 72 divisors (see below), whose sum is σ = 449615845224. Its totient is φ = 45173332224.

The previous prime is 146813333449. The next prime is 146813333483. The reversal of 146813333472 is 274333318641.

146813333472 is a `hidden beast` number, since 1 + 46 + 8 + 133 + 3 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 19602738 + ... + 19610225.

It is an arithmetic number, because the mean of its divisors is an integer number (6244664517).

Almost surely, 2146813333472 is an apocalyptic number.

146813333472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146813333472 is an abundant number, since it is smaller than the sum of its proper divisors (302802511752).

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

146813333472 is a wasteful number, since it uses less digits than its factorization.

146813333472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39212992 (or 39212981 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 146813333472 in words is "one hundred forty-six billion, eight hundred thirteen million, three hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 39212963 78425926 117638889 156851852 235277778 313703704 352916667 470555556 509768519 627407408 705833334 941111112 1019537038 1254814816 1411666668 1529305557 1882222224 2039074076 2823333336 3058611114 3764444448 4078148152 4587916671 5646666672 6117222228 8156296304 9175833342 11293333344 12234444456 16312592608 18351666684 24468888912 36703333368 48937777824 73406666736 146813333472