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46993989120 = 2935135383107
BaseRepresentation
bin101011110001000011…
…110101111000000000
311111022002110222220120
4223301003311320000
51232220430122440
633331100140240
73252361213431
oct536103657000
9144262428816
1046993989120
1118a25977641
129136237680
13457c062570
1423bb401488
151350a14dd0
hexaf10f5e00

46993989120 has 640 divisors, whose sum is σ = 168388222464. Its totient is φ = 11107958784.

The previous prime is 46993989103. The next prime is 46993989127. The reversal of 46993989120 is 2198939964.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46993989127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439196107 + ... + 439196213.

Almost surely, 246993989120 is an apocalyptic number.

46993989120 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 46993989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84194111232).

46993989120 is an abundant number, since it is smaller than the sum of its proper divisors (121394233344).

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

46993989120 is a wasteful number, since it uses less digits than its factorization.

46993989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 60.

The spelling of 46993989120 in words is "forty-six billion, nine hundred ninety-three million, nine hundred eighty-nine thousand, one hundred twenty".