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3966376148 = 22721767109163
BaseRepresentation
bin1110110001101010…
…0001100011010100
3101020102102210012022
43230122201203110
531110343014043
61453325112312
7200201432600
oct35432414324
911212383168
103966376148
111755a09119
129283b8698
134b297b147
14298ac0500
15183332868
hexec6a18d4

3966376148 has 144 divisors (see below), whose sum is σ = 8810303040. Its totient is φ = 1551965184.

The previous prime is 3966376111. The next prime is 3966376159. The reversal of 3966376148 is 8416736693.

It is a self number, because there is not a number n which added to its sum of digits gives 3966376148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24333515 + ... + 24333677.

It is an arithmetic number, because the mean of its divisors is an integer number (61182660).

Almost surely, 23966376148 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 3966376148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405151520).

3966376148 is an abundant number, since it is smaller than the sum of its proper divisors (4843926892).

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

3966376148 is a wasteful number, since it uses less digits than its factorization.

3966376148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 53.

The square root of 3966376148 is about 62979.1723349871. The cubic root of 3966376148 is about 1582.9406523691.

The spelling of 3966376148 in words is "three billion, nine hundred sixty-six million, three hundred seventy-six thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 67 68 98 109 119 134 163 196 218 238 268 326 436 469 476 652 763 833 938 1139 1141 1526 1666 1853 1876 2278 2282 2771 3052 3283 3332 3706 4556 4564 5341 5542 6566 7303 7412 7973 7987 10682 10921 11084 12971 13132 14606 15946 15974 17767 19397 21364 21842 25942 29212 31892 31948 35534 38794 43684 51121 51884 55811 71068 76447 77588 90797 102242 111622 124151 124369 135779 152894 181594 185657 204484 223244 248302 248738 271558 302039 305788 357847 363188 371314 496604 497476 535129 543116 604078 715694 742628 869057 870583 1070258 1190389 1208156 1299599 1431388 1738114 1741166 2114273 2140516 2380778 2599198 3476228 3482332 4228546 4761556 5198396 6083399 8332723 8457092 9097193 12166798 14799911 16665446 18194386 20236613 24333596 29599822 33330892 36388772 40473226 58329061 59199644 80946452 116658122 141656291 233316244 283312582 566625164 991594037 1983188074 3966376148