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213378196968 = 2335121790191
BaseRepresentation
bin1100011010111001010…
…1001110010111101000
3202101202200201111200000
43012232111032113220
511443444304300333
6242005151143000
721262465514466
oct3065625162750
9671680644600
10213378196968
118254747a632
123542bb14a60
1317176b6a461
14a482b77836
15583cbce713
hex31ae54e5e8

213378196968 has 96 divisors (see below), whose sum is σ = 599802053760. Its totient is φ = 71066833920.

The previous prime is 213378196963. The next prime is 213378196973. The reversal of 213378196968 is 869691873312.

213378196968 is a `hidden beast` number, since 2 + 13 + 378 + 196 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (213378196963) and next prime (213378196973).

It is not an unprimeable number, because it can be changed into a prime (213378196963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320753 + ... + 2410943.

It is an arithmetic number, because the mean of its divisors is an integer number (6247938060).

Almost surely, 2213378196968 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 213378196968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299901026880).

213378196968 is an abundant number, since it is smaller than the sum of its proper divisors (386423856792).

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

213378196968 is a wasteful number, since it uses less digits than its factorization.

213378196968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91429 (or 91413 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 213378196968 in words is "two hundred thirteen billion, three hundred seventy-eight million, one hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1217 1944 2434 3651 4868 7302 9736 10953 14604 21906 29208 32859 43812 65718 87624 90191 98577 131436 180382 197154 262872 270573 295731 360764 394308 541146 591462 721528 788616 811719 1082292 1182924 1623438 2164584 2365848 2435157 3246876 4870314 6493752 7305471 9740628 14610942 19481256 21916413 29221884 43832826 58443768 87665652 109762447 175331304 219524894 329287341 439049788 658574682 878099576 987862023 1317149364 1975724046 2634298728 2963586069 3951448092 5927172138 7902896184 8890758207 11854344276 17781516414 23708688552 26672274621 35563032828 53344549242 71126065656 106689098484 213378196968