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10407986303220 = 22325118363332033
BaseRepresentation
bin1001011101110100110001…
…0100111001000011110100
31100211222211110102212021100
42113131030110321003310
52331011023443200340
634045210215250100
72122644413611212
oct227351424710364
940758743385240
1010407986303220
113353002a29210
121201179679930
135a661322256c
1427da6bc31cb2
15130b07a2d830
hex9774c5390f4

10407986303220 has 144 divisors (see below), whose sum is σ = 34855924888512. Its totient is φ = 2492748779520.

The previous prime is 10407986303213. The next prime is 10407986303291. The reversal of 10407986303220 is 2230368970401.

10407986303220 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 7 + 9 + 8 + 630 + 3 + 2 + 2 + 0 = 666.

10407986303220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 31501677 + ... + 31830356.

It is an arithmetic number, because the mean of its divisors is an integer number (242055033948).

Almost surely, 210407986303220 is an apocalyptic number.

10407986303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10407986303220 is an abundant number, since it is smaller than the sum of its proper divisors (24447938585292).

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

10407986303220 is a wasteful number, since it uses less digits than its factorization.

10407986303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63332142 (or 63332137 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10407986303220 in words is "ten trillion, four hundred seven billion, nine hundred eighty-six million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 83 90 99 110 132 165 166 180 198 220 249 330 332 396 415 495 498 660 747 830 913 990 996 1245 1494 1660 1826 1980 2490 2739 2988 3652 3735 4565 4980 5478 7470 8217 9130 10956 13695 14940 16434 18260 27390 32868 41085 54780 82170 164340 63332033 126664066 189996099 253328132 316660165 379992198 569988297 633320330 696652363 759984396 949980495 1139976594 1266640660 1393304726 1899960990 2089957089 2279953188 2786609452 2849941485 3483261815 3799921980 4179914178 5256558739 5699882970 6269871267 6966523630 8359828356 10449785445 10513117478 11399765940 12539742534 13933047260 15769676217 20899570890 21026234956 25079485068 26282793695 31349356335 31539352434 41799141780 47309028651 52565587390 57822146129 62698712670 63078704868 78848381085 94618057302 105131174780 115644292258 125397425340 157696762170 173466438387 189236114604 231288584516 236545143255 289110730645 315393524340 346932876774 473090286510 520399315161 578221461290 693865753548 867332191935 946180573020 1040798630322 1156442922580 1734664383870 2081597260644 2601996575805 3469328767740 5203993151610 10407986303220