Search a number
-
+
498938287680 = 263357173731301
BaseRepresentation
bin1110100001010110000…
…10100001011001000000
31202200211212102010202000
413100223002201121000
531133311200201210
61021113055024000
751022104320220
oct7205302413100
91680755363660
10498938287680
111826647242a8
128084550b000
13380851b4431
141a212210080
15cea2811ac0
hex742b0a1640

498938287680 has 896 divisors, whose sum is σ = 2137273205760. Its totient is φ = 106964582400.

The previous prime is 498938287669. The next prime is 498938287691. The reversal of 498938287680 is 86782839894.

498938287680 is a `hidden beast` number, since 4 + 98 + 9 + 382 + 87 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (498938287669) and next prime (498938287691).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 498938287599 and 498938287608.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383503030 + ... + 383504330.

It is an arithmetic number, because the mean of its divisors is an integer number (2385349560).

Almost surely, 2498938287680 is an apocalyptic number.

498938287680 is a gapful number since it is divisible by the number (40) 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 498938287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068636602880).

498938287680 is an abundant number, since it is smaller than the sum of its proper divisors (1638334918080).

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

498938287680 is a wasteful number, since it uses less digits than its factorization.

498938287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 498938287680 in words is "four hundred ninety-eight billion, nine hundred thirty-eight million, two hundred eighty-seven thousand, six hundred eighty".