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1464310457472 = 27323165796021
BaseRepresentation
bin10101010011101111101…
…101000110010010000000
312011222122022110112021010
4111103233231012102000
5142442401434114342
63040410035000520
7210535656344112
oct25235755062200
95158568415233
101464310457472
115150130958a5
121b7962739140
13a81123a53c5
1450c317493b2
152815401029c
hex154efb46480

1464310457472 has 64 divisors (see below), whose sum is σ = 4058686618560. Its totient is φ = 466881592320.

The previous prime is 1464310457459. The next prime is 1464310457563. The reversal of 1464310457472 is 2747540134641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 82889179 + ... + 82906842.

It is an arithmetic number, because the mean of its divisors is an integer number (63416978415).

Almost surely, 21464310457472 is an apocalyptic number.

1464310457472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1464310457472 is an abundant number, since it is smaller than the sum of its proper divisors (2594376161088).

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

1464310457472 is a wasteful number, since it uses less digits than its factorization.

1464310457472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165796061 (or 165796049 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 1464310457472 in words is "one trillion, four hundred sixty-four billion, three hundred ten million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 165796021 331592042 497388063 663184084 994776126 1326368168 1989552252 2652736336 3813308483 3979104504 5305472672 7626616966 7958209008 10610945344 11439925449 15253233932 15916418016 21221890688 22879850898 30506467864 31832836032 45759701796 61012935728 63665672064 91519403592 122025871456 183038807184 244051742912 366077614368 488103485824 732155228736 1464310457472