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214773377412 = 2231137127346259
BaseRepresentation
bin1100100000000101111…
…1011010100110000100
3202112100221000000102210
43020001133122212010
512004323441034122
6242355430503420
721342166405116
oct3100137324604
9675327000383
10214773377412
11830a2a77320
123575b204b70
1317339c1c309
14a5761933b6
1558c042140c
hex32017da984

214773377412 has 96 divisors (see below), whose sum is σ = 565894103040. Its totient is φ = 62825051520.

The previous prime is 214773377393. The next prime is 214773377431.

214773377412 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (214773377393) and next prime (214773377431).

It is a super-2 number, since 2×2147733774122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447139 + ... + 793397.

It is an arithmetic number, because the mean of its divisors is an integer number (5894730240).

Almost surely, 2214773377412 is an apocalyptic number.

214773377412 is a gapful number since it is divisible by the number (22) 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 214773377412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282947051520).

214773377412 is an abundant number, since it is smaller than the sum of its proper divisors (351120725628).

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

214773377412 is a wasteful number, since it uses less digits than its factorization.

214773377412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346441 (or 346439 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 48.

The spelling of 214773377412 in words is "two hundred fourteen billion, seven hundred seventy-three million, three hundred seventy-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 127 132 148 222 254 381 407 444 508 762 814 1221 1397 1524 1628 2442 2794 4191 4699 4884 5588 8382 9398 14097 16764 18796 28194 51689 56388 103378 155067 206756 310134 346259 620268 692518 1038777 1385036 2077554 3808849 4155108 7617698 11426547 12811583 15235396 22853094 25623166 38434749 43974893 45706188 51246332 76869498 87949786 131924679 140927413 153738996 175899572 263849358 281854826 422782239 483723823 527698716 563709652 845564478 967447646 1451171469 1627071041 1691128956 1934895292 2902342938 3254142082 4881213123 5804685876 6508284164 9762426246 17897781451 19524852492 35795562902 53693344353 71591125804 107386688706 214773377412