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4061670480 = 243457151593
BaseRepresentation
bin1111001000011000…
…0010110001010000
3101111001202020110000
43302012002301100
531304241423410
61511011410000
7202436425620
oct36206026120
911431666400
104061670480
1117a478616a
129542b3900
134c9634b1a
142a7608880
1518b8a7dc0
hexf2182c50

4061670480 has 400 divisors, whose sum is σ = 16256173824. Its totient is φ = 920678400.

The previous prime is 4061670469. The next prime is 4061670491. The reversal of 4061670480 is 840761604.

It is an interprime number because it is at equal distance from previous prime (4061670469) and next prime (4061670491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6849064 + ... + 6849656.

Almost surely, 24061670480 is an apocalyptic number.

4061670480 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 4061670480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128086912).

4061670480 is an abundant number, since it is smaller than the sum of its proper divisors (12194503344).

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

4061670480 is a wasteful number, since it uses less digits than its factorization.

4061670480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4061670480 is about 63731.2362974390. The cubic root of 4061670480 is about 1595.5174639383.

It can be divided in two parts, 4061 and 670480, that added together give a triangular number (674541 = T1161).

The spelling of 4061670480 in words is "four billion, sixty-one million, six hundred seventy thousand, four hundred eighty".