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451201053780 = 22355369125153
BaseRepresentation
bin1101001000011011010…
…11011011010001010100
31121010121222101101200000
412210031223123101110
524343024432210110
6543140124251300
744412116451201
oct6441553332124
91533558341600
10451201053780
11164398260984
12735423a0b30
1333718181079
1417ba4218ca8
15bb0b9361c0
hex690dadb454

451201053780 has 144 divisors (see below), whose sum is σ = 1419774667584. Its totient is φ = 120282900480.

The previous prime is 451201053757. The next prime is 451201053827. The reversal of 451201053780 is 87350102154.

451201053780 is a `hidden beast` number, since 4 + 512 + 0 + 10 + 53 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17925684 + ... + 17950836.

Almost surely, 2451201053780 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 451201053780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709887333792).

451201053780 is an abundant number, since it is smaller than the sum of its proper divisors (968573613804).

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

451201053780 is a wasteful number, since it uses less digits than its factorization.

451201053780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28868 (or 28854 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 451201053780 in words is "four hundred fifty-one billion, two hundred one million, fifty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 3691 4860 7382 11073 14764 18455 22146 25153 33219 36910 44292 50306 55365 66438 73820 75459 99657 100612 110730 125765 132876 150918 166095 199314 221460 226377 251530 298971 301836 332190 377295 398628 452754 498285 503060 597942 664380 679131 754590 896913 905508 996570 1131885 1195884 1358262 1494855 1509180 1793826 1993140 2037393 2263770 2716524 2989710 3395655 3587652 4074786 4484565 4527540 5979420 6112179 6791310 8149572 8969130 10186965 12224358 13582620 17938260 20373930 24448716 30560895 40747860 61121790 92839723 122243580 185679446 278519169 371358892 464198615 557038338 835557507 928397230 1114076676 1392595845 1671115014 1856794460 2506672521 2785191690 3342230028 4177787535 5013345042 5570383380 7520017563 8355575070 10026690084 12533362605 15040035126 16711150140 22560052689 25066725210 30080070252 37600087815 45120105378 50133450420 75200175630 90240210756 112800263445 150400351260 225600526890 451201053780