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2047997168 = 247295311897
BaseRepresentation
bin111101000010001…
…1111010011110000
312021201200000221222
41322010133103300
513143241402133
6535115404212
7101515455140
oct17204372360
95251600858
102047997168
1196104a648
12491a53668
132683b0c59
14155dd0920
15bebe3e98
hex7a11f4f0

2047997168 has 80 divisors (see below), whose sum is σ = 4780140480. Its totient is φ = 831387648.

The previous prime is 2047997167. The next prime is 2047997177. The reversal of 2047997168 is 8617997402.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047997167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166196 + ... + 178092.

It is an arithmetic number, because the mean of its divisors is an integer number (59751756).

Almost surely, 22047997168 is an apocalyptic number.

2047997168 is a gapful number since it is divisible by the number (28) 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 2047997168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390070240).

2047997168 is an abundant number, since it is smaller than the sum of its proper divisors (2732143312).

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

2047997168 is a wasteful number, since it uses less digits than its factorization.

2047997168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11994 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 53.

The square root of 2047997168 is about 45254.8027064532. The cubic root of 2047997168 is about 1269.9202562202.

The spelling of 2047997168 in words is "two billion, forty-seven million, nine hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 53 56 58 106 112 116 203 212 232 371 406 424 464 742 812 848 1484 1537 1624 2968 3074 3248 5936 6148 10759 11897 12296 21518 23794 24592 43036 47588 83279 86072 95176 166558 172144 190352 333116 345013 630541 666232 690026 1261082 1332464 1380052 2415091 2522164 2760104 4413787 4830182 5044328 5520208 8827574 9660364 10088656 17655148 18285689 19320728 35310296 36571378 38641456 70620592 73142756 127999823 146285512 255999646 292571024 511999292 1023998584 2047997168