Search a number
-
+
667701401148 = 223341509296249
BaseRepresentation
bin10011011011101100001…
…10101101011000111100
32100211110020222120112000
421231312012231120330
541414423024314043
61230423210142300
766145156160205
oct11556606553074
92324406876460
10667701401148
112381970412a1
12a94a3a21990
134ac6bb006a2
14244618b45ac
151257d7872d3
hex9b761ad63c

667701401148 has 96 divisors (see below), whose sum is σ = 1776789000000. Its totient is φ = 216711336960.

The previous prime is 667701401137. The next prime is 667701401167. The reversal of 667701401148 is 841104107766.

It is a super-2 number, since 2×6677014011482 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 2105728 + ... + 2401976.

It is an arithmetic number, because the mean of its divisors is an integer number (18508218750).

Almost surely, 2667701401148 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 667701401148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888394500000).

667701401148 is an abundant number, since it is smaller than the sum of its proper divisors (1109087598852).

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

667701401148 is a wasteful number, since it uses less digits than its factorization.

667701401148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296812 (or 296804 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 667701401148 in words is "six hundred sixty-seven billion, seven hundred one million, four hundred one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 509 738 1018 1107 1476 1527 2036 2214 3054 4428 4581 6108 9162 13743 18324 20869 27486 41738 54972 62607 83476 125214 187821 250428 296249 375642 563463 592498 751284 888747 1126926 1184996 1777494 2253852 2666241 3554988 5332482 7998723 10664964 12146209 15997446 24292418 31994892 36438627 48584836 72877254 109315881 145754508 150790741 218631762 301581482 327947643 437263524 452372223 603162964 655895286 904744446 1311790572 1357116669 1809488892 2714233338 4071350007 5428466676 6182420381 8142700014 12364840762 16285400028 18547261143 24729681524 37094522286 55641783429 74189044572 111283566858 166925350287 222567133716 333850700574 667701401148