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46423950720 = 2735723179839
BaseRepresentation
bin101011001111000101…
…010100010110000000
311102211100212001020020
4223033011110112000
51230034012410340
633154334213440
73232300033050
oct531705242600
9142740761206
1046423950720
1118763123324
128bb7354280
1344bac27334
142365817560
15131a9649d0
hexacf154580

46423950720 has 512 divisors, whose sum is σ = 177666048000. Its totient is φ = 10081099776.

The previous prime is 46423950719. The next prime is 46423950737. The reversal of 46423950720 is 2705932464.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55332061 + ... + 55332899.

It is an arithmetic number, because the mean of its divisors is an integer number (347004000).

Almost surely, 246423950720 is an apocalyptic number.

46423950720 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 46423950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88833024000).

46423950720 is an abundant number, since it is smaller than the sum of its proper divisors (131242097280).

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

46423950720 is a wasteful number, since it uses less digits than its factorization.

46423950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 46423950720 in words is "forty-six billion, four hundred twenty-three million, nine hundred fifty thousand, seven hundred twenty".