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60401667420 = 223251743479767
BaseRepresentation
bin111000010000001110…
…000100110101011100
312202220111101121212100
4320100032010311130
51442200311324140
643425333205100
74235544462513
oct702016046534
9182814347770
1060401667420
1123686191806
12b858490790
135907a33713
142ccdd6d67a
151887b45530
hexe10384d5c

60401667420 has 288 divisors, whose sum is σ = 202751797248. Its totient is φ = 14490556416.

The previous prime is 60401667383. The next prime is 60401667499. The reversal of 60401667420 is 2476610406.

60401667420 is a `hidden beast` number, since 604 + 0 + 1 + 6 + 6 + 7 + 42 + 0 = 666.

It is a super-2 number, since 2×604016674202 (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 6179377 + ... + 6189143.

It is an arithmetic number, because the mean of its divisors is an integer number (703999296).

Almost surely, 260401667420 is an apocalyptic number.

60401667420 is a gapful number since it is divisible by the number (60) 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 60401667420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101375898624).

60401667420 is an abundant number, since it is smaller than the sum of its proper divisors (142350129828).

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

60401667420 is a wasteful number, since it uses less digits than its factorization.

60401667420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9884 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 60401 and 667420, that added together give a triangular number (727821 = T1206).

The spelling of 60401667420 in words is "sixty billion, four hundred one million, six hundred sixty-seven thousand, four hundred twenty".