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4778976983040 = 211345131729231
BaseRepresentation
bin100010110001011000100…
…1110011011100000000000
3121220212101010022112020000
41011202301032123200000
51111244321101424130
614055233130120000
71002161335054401
oct105426116334000
917825333275200
104778976983040
111582830a12587
12652245880000
1328886a4618b0
1412743759d9a8
15844a3805260
hex458b139b800

4778976983040 has 2880 divisors, whose sum is σ = 20881380199680. Its totient is φ = 1034504110080.

The previous prime is 4778976982993. The next prime is 4778976983089. The reversal of 4778976983040 is 403896798774.

4778976983040 is a `hidden beast` number, since 477 + 8 + 9 + 76 + 9 + 83 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×47789769830402 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4778976983040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 154160547825 + ... + 154160547855.

It is an arithmetic number, because the mean of its divisors is an integer number (7250479236).

Almost surely, 24778976983040 is an apocalyptic number.

4778976983040 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 4778976983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10440690099840).

4778976983040 is an abundant number, since it is smaller than the sum of its proper divisors (16102403216640).

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

4778976983040 is a wasteful number, since it uses less digits than its factorization.

4778976983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 4778976983040 in words is "four trillion, seven hundred seventy-eight billion, nine hundred seventy-six million, nine hundred eighty-three thousand, forty".