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1464764016 = 243232945751
BaseRepresentation
bin101011101001110…
…1000011001110000
310210002012201111010
41113103220121300
510444434422031
6401202550520
751204201012
oct12723503160
93702181433
101464764016
11691903981
1234a668440
131a4605c91
14dc7701b2
15888d9246
hex574e8670

1464764016 has 80 divisors (see below), whose sum is σ = 4084738560. Its totient is φ = 450912000.

The previous prime is 1464764003. The next prime is 1464764033. The reversal of 1464764016 is 6104674641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9141 + ... + 54891.

It is an arithmetic number, because the mean of its divisors is an integer number (51059232).

Almost surely, 21464764016 is an apocalyptic number.

1464764016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464764016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042369280).

1464764016 is an abundant number, since it is smaller than the sum of its proper divisors (2619974544).

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

1464764016 is a wasteful number, since it uses less digits than its factorization.

1464764016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45814 (or 45808 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1464764016 is about 38272.2355761981. The cubic root of 1464764016 is about 1135.6797640956.

The spelling of 1464764016 in words is "one billion, four hundred sixty-four million, seven hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1104 1334 1392 2001 2668 4002 5336 8004 10672 16008 32016 45751 91502 137253 183004 274506 366008 549012 732016 1052273 1098024 1326779 2104546 2196048 2653558 3156819 3980337 4209092 5307116 6313638 7960674 8418184 10614232 12627276 15921348 16836368 21228464 25254552 30515917 31842696 50509104 61031834 63685392 91547751 122063668 183095502 244127336 366191004 488254672 732382008 1464764016