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424289369952 = 25327972169701
BaseRepresentation
bin1100010110010011001…
…11011111111101100000
31111120011110022012122100
412023021213133331200
523422421034314302
6522525453410400
742440200065450
oct6131147377540
91446143265570
10424289369952
11153a38319568
126a291799a00
1331019882bb6
1416770005d60
15b083ee8d1c
hex62c99dff60

424289369952 has 144 divisors (see below), whose sum is σ = 1393156975392. Its totient is φ = 119975731200.

The previous prime is 424289369929. The next prime is 424289369957. The reversal of 424289369952 is 259963982424.

424289369952 is a `hidden beast` number, since 42 + 428 + 9 + 36 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 424289369952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424289369957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889299 + ... + 1280402.

It is an arithmetic number, because the mean of its divisors is an integer number (9674701218).

Almost surely, 2424289369952 is an apocalyptic number.

424289369952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

424289369952 is an abundant number, since it is smaller than the sum of its proper divisors (968867605440).

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

424289369952 is a wasteful number, since it uses less digits than its factorization.

424289369952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169821 (or 2169810 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 424289369952 in words is "four hundred twenty-four billion, two hundred eighty-nine million, three hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 97 112 126 144 168 194 224 252 288 291 336 388 504 582 672 679 776 873 1008 1164 1358 1552 1746 2016 2037 2328 2716 3104 3492 4074 4656 5432 6111 6984 8148 9312 10864 12222 13968 16296 21728 24444 27936 32592 48888 65184 97776 195552 2169701 4339402 6509103 8678804 13018206 15187907 17357608 19527309 26036412 30375814 34715216 39054618 45563721 52072824 60751628 69430432 78109236 91127442 104145648 121503256 136691163 156218472 182254884 208291296 210460997 243006512 273382326 312436944 364509768 420921994 486013024 546764652 624873888 631382991 729019536 841843988 1093529304 1262765982 1458039072 1473226979 1683687976 1894148973 2187058608 2525531964 2946453958 3367375952 3788297946 4374117216 4419680937 5051063928 5892907916 6734751904 7576595892 8839361874 10102127856 11785815832 13259042811 15153191784 17678723748 20204255712 23571631664 26518085622 30306383568 35357447496 47143263328 53036171244 60612767136 70714894992 106072342488 141429789984 212144684976 424289369952