Search a number
-
+
487421061922368 = 263271753145991961
BaseRepresentation
bin110111011010011101000111…
…1010000000111111001000000
32100220210222221212101000000200
41232310322033100013321000
51002341401313323003433
64444354051123245200
7204445003204443540
oct15664721720077100
92326728855330020
10487421061922368
11131342125461492
1246801573519800
1317bc87bba2c682
14885143b949320
153b53e18c3e613
hex1bb4e8f407e40

487421061922368 has 672 divisors, whose sum is σ = 1723711538315520. Its totient is φ = 128508629483520.

The previous prime is 487421061922273. The next prime is 487421061922391. The reversal of 487421061922368 is 863229160124784.

487421061922368 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 2 + 1 + 0 + 619 + 2 + 2 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5300255908 + ... + 5300347868.

Almost surely, 2487421061922368 is an apocalyptic number.

487421061922368 is a gapful number since it is divisible by the number (48) 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 487421061922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861855769157760).

487421061922368 is an abundant number, since it is smaller than the sum of its proper divisors (1236290476393152).

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

487421061922368 is a wasteful number, since it uses less digits than its factorization.

487421061922368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93515 (or 93502 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 487421061922368 in words is "four hundred eighty-seven trillion, four hundred twenty-one billion, sixty-one million, nine hundred twenty-two thousand, three hundred sixty-eight".