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16406051040 = 253451265899
BaseRepresentation
bin11110100011110000…
…00111100011100000
31120100100212202010000
433101320013203200
5232044422113130
611311542340000
71120362063411
oct172170074340
946310782100
1016406051040
116a59873a75
12321a42a600
131715c35b12
14b18c6d808
156604a2260
hex3d1e078e0

16406051040 has 120 divisors (see below), whose sum is σ = 57899734200. Its totient is φ = 4374943488.

The previous prime is 16406051029. The next prime is 16406051063. The reversal of 16406051040 is 4015060461.

16406051040 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 605 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16406050995 and 16406051013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 619990 + ... + 645909.

It is an arithmetic number, because the mean of its divisors is an integer number (482497785).

Almost surely, 216406051040 is an apocalyptic number.

16406051040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16406051040 is an abundant number, since it is smaller than the sum of its proper divisors (41493683160).

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

16406051040 is a wasteful number, since it uses less digits than its factorization.

16406051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265926 (or 1265909 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 16406051040 in words is "sixteen billion, four hundred six million, fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 1265899 2531798 3797697 5063596 6329495 7595394 10127192 11393091 12658990 15190788 18988485 20254384 22786182 25317980 30381576 34179273 37976970 40508768 45572364 50635960 56965455 60763152 68358546 75953940 91144728 101271920 102537819 113930910 121526304 136717092 151907880 170896365 182289456 202543840 205075638 227861820 273434184 303815760 341792730 364578912 410151276 455723640 512689095 546868368 607631520 683585460 820302552 911447280 1025378190 1093736736 1367170920 1640605104 1822894560 2050756380 2734341840 3281210208 4101512760 5468683680 8203025520 16406051040