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471902107992 = 233741103665153
BaseRepresentation
bin1101101110111111000…
…11101011100101011000
31200010001200001220111120
412313133203223211120
530212423414423432
61000442215525240
746044113510010
oct6673743534530
91603050056446
10471902107992
1117215048a347
127755b089820
1335666b76b83
1418ba9670c40
15c41ded1c2c
hex6ddf8eb958

471902107992 has 128 divisors (see below), whose sum is σ = 1394588482560. Its totient is φ = 130263367680.

The previous prime is 471902107981. The next prime is 471902108003. The reversal of 471902107992 is 299701209174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (471902107981) and next prime (471902108003).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 376888 + ... + 1042040.

It is an arithmetic number, because the mean of its divisors is an integer number (10895222520).

Almost surely, 2471902107992 is an apocalyptic number.

471902107992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471902107992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697294241280).

471902107992 is an abundant number, since it is smaller than the sum of its proper divisors (922686374568).

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

471902107992 is a wasteful number, since it uses less digits than its factorization.

471902107992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665313 (or 665309 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 471902107992 in words is "four hundred seventy-one billion, nine hundred two million, one hundred seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 103 123 164 168 206 246 287 309 328 412 492 574 618 721 824 861 984 1148 1236 1442 1722 2163 2296 2472 2884 3444 4223 4326 5768 6888 8446 8652 12669 16892 17304 25338 29561 33784 50676 59122 88683 101352 118244 177366 236488 354732 665153 709464 1330306 1995459 2660612 3990918 4656071 5321224 7981836 9312142 13968213 15963672 18624284 27271273 27936426 37248568 54542546 55872852 68510759 81813819 109085092 111745704 137021518 163627638 190898911 205532277 218170184 274043036 327255276 381797822 411064554 479575313 548086072 572696733 654510552 763595644 822129108 959150626 1145393466 1438725939 1527191288 1644258216 1918301252 2290786932 2808941119 2877451878 3836602504 4581573864 5617882238 5754903756 8426823357 11235764476 11509807512 16853646714 19662587833 22471528952 33707293428 39325175666 58987763499 67414586856 78650351332 117975526998 157300702664 235951053996 471902107992