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145623417216 = 273809468761
BaseRepresentation
bin1000011110011111010…
…1010000000110000000
3111220212202011001221220
42013213311100012000
54341214043322331
6150522023115040
713343453423454
oct2074765200600
9456782131856
10145623417216
1156838693792
1224280ba2a80
13109699280c4
147096410664
153bc476e296
hex21e7d50180

145623417216 has 64 divisors (see below), whose sum is σ = 387291164400. Its totient is φ = 48481034240.

The previous prime is 145623417167. The next prime is 145623417217. The reversal of 145623417216 is 612714326541.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145623417217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76276 + ... + 545036.

Almost surely, 2145623417216 is an apocalyptic number.

145623417216 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 145623417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193645582200).

145623417216 is an abundant number, since it is smaller than the sum of its proper divisors (241667747184).

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

145623417216 is an equidigital number, since it uses as much as digits as its factorization.

145623417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469587 (or 469575 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The spelling of 145623417216 in words is "one hundred forty-five billion, six hundred twenty-three million, four hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 809 1618 2427 3236 4854 6472 9708 12944 19416 25888 38832 51776 77664 103552 155328 310656 468761 937522 1406283 1875044 2812566 3750088 5625132 7500176 11250264 15000352 22500528 30000704 45001056 60001408 90002112 180004224 379227649 758455298 1137682947 1516910596 2275365894 3033821192 4550731788 6067642384 9101463576 12135284768 18202927152 24270569536 36405854304 48541139072 72811708608 145623417216