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1978130664 = 2332127227953
BaseRepresentation
bin111010111100111…
…1110000011101000
312002212012110010200
41311321332003220
513022400140124
6524142112200
7100006555536
oct16571760350
95085173120
101978130664
1192566a934
1247257b660
13256a8b123
1414aa05156
15b89e2bc9
hex75e7e0e8

1978130664 has 96 divisors (see below), whose sum is σ = 5429099520. Its totient is φ = 650619648.

The previous prime is 1978130657. The next prime is 1978130681. The reversal of 1978130664 is 4660318791.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2075212 + ... + 2076164.

It is an arithmetic number, because the mean of its divisors is an integer number (56553120).

Almost surely, 21978130664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1978130664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714549760).

1978130664 is an abundant number, since it is smaller than the sum of its proper divisors (3450968856).

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

1978130664 is a wasteful number, since it uses less digits than its factorization.

1978130664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1978130664 is about 44476.1808612205. The cubic root of 1978130664 is about 1255.3119363437.

The spelling of 1978130664 in words is "one billion, nine hundred seventy-eight million, one hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 227 254 381 454 508 681 762 908 953 1016 1143 1362 1524 1816 1906 2043 2286 2724 2859 3048 3812 4086 4572 5448 5718 7624 8172 8577 9144 11436 16344 17154 22872 28829 34308 57658 68616 86487 115316 121031 172974 216331 230632 242062 259461 345948 363093 432662 484124 518922 648993 691896 726186 865324 968248 1037844 1089279 1297986 1452372 1730648 1946979 2075688 2178558 2595972 2904744 3893958 4357116 5191944 7787916 8714232 15575832 27474037 54948074 82422111 109896148 164844222 219792296 247266333 329688444 494532666 659376888 989065332 1978130664