Search a number
-
+
451422946700 = 2252113896131721
BaseRepresentation
bin1101001000110101110…
…01111000010110001100
31121011012102220201112022
412210122321320112030
524344003233243300
6543214132225312
744420452510265
oct6443271702614
91534172821468
10451422946700
111644a1537360
12735a476b238
133375213225b
1417bc589996c
15bb21167285
hex691ae7858c

451422946700 has 144 divisors (see below), whose sum is σ = 1073759712480. Its totient is φ = 163369728000.

The previous prime is 451422946699. The next prime is 451422946739. The reversal of 451422946700 is 7649224154.

It is a super-2 number, since 2×4514229467002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 262301840 + ... + 262303560.

It is an arithmetic number, because the mean of its divisors is an integer number (7456664670).

Almost surely, 2451422946700 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 451422946700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536879856240).

451422946700 is an abundant number, since it is smaller than the sum of its proper divisors (622336765780).

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

451422946700 is a wasteful number, since it uses less digits than its factorization.

451422946700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 451422946700 in words is "four hundred fifty-one billion, four hundred twenty-two million, nine hundred forty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 389 550 613 778 1100 1226 1556 1721 1945 2452 3065 3442 3890 4279 6130 6743 6884 7780 8558 8605 9725 12260 13486 15325 17116 17210 18931 19450 21395 26972 30650 33715 34420 37862 38900 42790 43025 61300 67430 75724 85580 86050 94655 106975 134860 168575 172100 189310 213950 238457 337150 378620 427900 473275 476914 669469 674300 946550 953828 1054973 1192285 1338938 1893100 2109946 2384570 2623027 2677876 3347345 4219892 4769140 5246054 5274865 5961425 6694690 7364159 10492108 10549730 11604703 11922850 13115135 13389380 14728318 16736725 21099460 23209406 23845700 26230270 26374325 29456636 33473450 36820795 46418812 52460540 52748650 58023515 65575675 66946900 73641590 105497300 116047030 131151350 147283180 184103975 232094060 262302700 290117575 368207950 410384497 580235150 736415900 820768994 1160470300 1641537988 2051922485 4103844970 4514229467 8207689940 9028458934 10259612425 18056917868 20519224850 22571147335 41038449700 45142294670 90284589340 112855736675 225711473350 451422946700