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6461354320 = 2451959109661
BaseRepresentation
bin1100000010010000…
…00111000101010000
3121200022011210211021
412001020013011100
5101213101314240
62545053125224
7316055414461
oct60110070520
917608153737
106461354320
1128162a2153
121303a89814
137bc83c8a5
144541c4d68
1527c3ba54a
hex181207150

6461354320 has 160 divisors (see below), whose sum is σ = 16253424000. Its totient is φ = 2381322240.

The previous prime is 6461354299. The next prime is 6461354329. The reversal of 6461354320 is 234531646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461354329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9774790 + ... + 9775450.

It is an arithmetic number, because the mean of its divisors is an integer number (101583900).

Almost surely, 26461354320 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 6461354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126712000).

6461354320 is an abundant number, since it is smaller than the sum of its proper divisors (9792069680).

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

6461354320 is a wasteful number, since it uses less digits than its factorization.

6461354320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 6461354320 is about 80382.5498475882. The cubic root of 6461354320 is about 1862.5496232894.

Adding to 6461354320 its reverse (234531646), we get a palindrome (6695885966).

The spelling of 6461354320 in words is "six billion, four hundred sixty-one million, three hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 59 76 80 95 109 118 152 190 218 236 295 304 380 436 472 545 590 661 760 872 944 1090 1121 1180 1322 1520 1744 2071 2180 2242 2360 2644 3305 4142 4360 4484 4720 5288 5605 6431 6610 8284 8720 8968 10355 10576 11210 12559 12862 13220 16568 17936 20710 22420 25118 25724 26440 32155 33136 38999 41420 44840 50236 51448 52880 62795 64310 72049 77998 82840 89680 100472 102896 122189 125590 128620 144098 155996 165680 194995 200944 244378 251180 257240 288196 311992 360245 389990 488756 502360 514480 576392 610945 623984 720490 740981 779980 977512 1004720 1152784 1221890 1368931 1440980 1481962 1559960 1955024 2443780 2737862 2881960 2963924 3119920 3704905 4250891 4887560 5475724 5763920 5927848 6844655 7409810 8501782 9775120 10951448 11855696 13689310 14819620 17003564 21254455 21902896 27378620 29639240 34007128 42508910 54757240 59278480 68014256 80766929 85017820 109514480 161533858 170035640 323067716 340071280 403834645 646135432 807669290 1292270864 1615338580 3230677160 6461354320