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42869998080 = 29325721323127
BaseRepresentation
bin100111111011010000…
…000100001000000000
311002122200110112201200
4213323100010020000
51200244204414310
631405540501200
73045233654100
oct477320041000
9132580415650
1042869998080
11171a9aa6088
1283850aa800
13407284a490
142109813200
1511ad94b9c0
hex9fb404200

42869998080 has 1440 divisors, whose sum is σ = 195611480064. Its totient is φ = 8583708672.

The previous prime is 42869998027. The next prime is 42869998099. The reversal of 42869998080 is 8089996824.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 42869997999 and 42869998017.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 337558977 + ... + 337559103.

Almost surely, 242869998080 is an apocalyptic number.

42869998080 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 42869998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97805740032).

42869998080 is an abundant number, since it is smaller than the sum of its proper divisors (152741481984).

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

42869998080 is a wasteful number, since it uses less digits than its factorization.

42869998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 42869998080 in words is "forty-two billion, eight hundred sixty-nine million, nine hundred ninety-eight thousand, eighty".