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1047683966384 = 2411149226717623
BaseRepresentation
bin11110011111011101101…
…01001010010110110000
310201011020220012220021002
433033232311022112300
5114131124043411014
62121144355221132
7135456404531126
oct17175665122660
93634226186232
101047683966384
11374358316680
1214b06b2a77a8
1377a4726b473
14389cb333916
151c3bcb1ddde
hexf3eed4a5b0

1047683966384 has 80 divisors (see below), whose sum is σ = 2230394745600. Its totient is φ = 472788391680.

The previous prime is 1047683966369. The next prime is 1047683966437. The reversal of 1047683966384 is 4836693867401.

It is a super-3 number, since 3×10476839663843 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1047683966384.

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 15 ways as a sum of consecutive naturals, for example, 59440997 + ... + 59458619.

It is an arithmetic number, because the mean of its divisors is an integer number (27879934320).

Almost surely, 21047683966384 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 1047683966384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115197372800).

1047683966384 is an abundant number, since it is smaller than the sum of its proper divisors (1182710779216).

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

1047683966384 is a wasteful number, since it uses less digits than its factorization.

1047683966384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20058 (or 20052 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 65.

The spelling of 1047683966384 in words is "one trillion, forty-seven billion, six hundred eighty-three million, nine hundred sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 596 1192 1639 2267 2384 3278 4534 6556 9068 13112 17623 18136 24937 26224 35246 36272 49874 70492 99748 140984 193853 199496 281968 337783 387706 398992 675566 775412 1351132 1550824 2625827 2702264 3101648 3715613 5251654 5404528 7431226 10503308 14862452 21006616 28884097 29724904 39951341 42013232 57768194 59449808 79902682 115536388 159805364 231072776 319610728 439464751 462145552 639221456 878929502 1757859004 3515718008 5952749809 7031436016 11905499618 23810999236 47621998472 65480247899 95243996944 130960495798 261920991596 523841983192 1047683966384