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66949146572 = 227112191307337
BaseRepresentation
bin111110010110011110…
…101110011111001100
320101210210122000202012
4332112132232133030
52044102440142242
650431144320352
74560030233150
oct762636563714
9211723560665
1066949146572
1126436058800
1210b851730b8
13640c369439
143351773060
151b1c874282
hexf967ae7cc

66949146572 has 144 divisors (see below), whose sum is σ = 148870385664. Its totient is φ = 25786252800.

The previous prime is 66949146527. The next prime is 66949146601. The reversal of 66949146572 is 27564194966.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198661988 + ... + 198662324.

Almost surely, 266949146572 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 66949146572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74435192832).

66949146572 is an abundant number, since it is smaller than the sum of its proper divisors (81921239092).

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

66949146572 is a wasteful number, since it uses less digits than its factorization.

66949146572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 855 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 59.

The spelling of 66949146572 in words is "sixty-six billion, nine hundred forty-nine million, one hundred forty-six thousand, five hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 191 242 307 308 337 382 484 614 674 764 847 1228 1337 1348 1694 2101 2149 2359 2674 3377 3388 3707 4202 4298 4718 5348 6754 7414 8404 8596 9436 13508 14707 14828 23111 23639 25949 29414 37147 40777 46222 47278 51898 58637 58828 64367 74294 81554 92444 94556 103459 103796 117274 128734 148588 161777 163108 206918 234548 257468 260029 285439 323554 410459 413836 450569 520058 570878 645007 647108 708037 724213 820918 901138 1040116 1138049 1141756 1290014 1416074 1448426 1641836 1802276 2276098 2580028 2832148 2896852 4515049 4552196 4956259 7095077 7788407 7966343 9030098 9912518 12518539 14190154 15576814 15932686 18060196 19760669 19825036 25037078 28380308 31153628 31865372 39521338 49665539 50074156 54518849 79042676 87629773 99331078 109037698 138324683 175259546 198662156 217367359 218075396 276649366 350519092 434734718 553298732 869469436 1521571513 2391040949 3043143026 4782081898 6086286052 9564163796 16737286643 33474573286 66949146572