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431986667490 = 232573122119133
BaseRepresentation
bin1100100100101000110…
…10010110111111100010
31112022000220010102211100
412102110122112333202
524034202041324430
6530241341255230
743132014042240
oct6222432267742
91468026112740
10431986667490
11157228237094
126b87b564516
1331975490121
1416ca03d5790
15b384b4e960
hex6494696fe2

431986667490 has 96 divisors (see below), whose sum is σ = 1325024603136. Its totient is φ = 95554650240.

The previous prime is 431986667461. The next prime is 431986667513. The reversal of 431986667490 is 94766689134.

It is a super-2 number, since 2×4319866674902 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon 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, 11040037 + ... + 11079096.

It is an arithmetic number, because the mean of its divisors is an integer number (13802339616).

Almost surely, 2431986667490 is an apocalyptic number.

431986667490 is an abundant number, since it is smaller than the sum of its proper divisors (893037935646).

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

431986667490 is a wasteful number, since it uses less digits than its factorization.

431986667490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22119184 (or 22119181 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 431986667490 in words is "four hundred thirty-one billion, nine hundred eighty-six million, six hundred sixty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 22119133 44238266 66357399 110595665 132714798 154833931 199072197 221191330 309667862 331786995 398144394 464501793 663573990 685693123 774169655 929003586 995360985 1371386246 1393505379 1548339310 1990721970 2057079369 2322508965 2787010758 3428465615 4114158738 4645017930 4799851861 6171238107 6856931230 6967526895 9599703722 10285396845 12342476214 13935053790 14399555583 20570793690 23999259305 28799111166 30856190535 43198666749 47998518610 61712381070 71997777915 86397333498 143995555830 215993333745 431986667490