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61400399760 = 2433574060873
BaseRepresentation
bin111001001011101111…
…111011111110010000
312212111002200111002000
4321023233323332100
52001222000243020
644112411354000
74302362533560
oct711357737620
9185432614060
1061400399760
1124048a1a137
12ba96a52900
135a369188bb
142d8686ada0
1518e5676090
hexe4bbfbf90

61400399760 has 160 divisors (see below), whose sum is σ = 241703220480. Its totient is φ = 14034373632.

The previous prime is 61400399743. The next prime is 61400399783. The reversal of 61400399760 is 6799300416.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2015317 + ... + 2045556.

It is an arithmetic number, because the mean of its divisors is an integer number (1510645128).

Almost surely, 261400399760 is an apocalyptic number.

61400399760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61400399760 is an abundant number, since it is smaller than the sum of its proper divisors (180302820720).

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

61400399760 is a wasteful number, since it uses less digits than its factorization.

61400399760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060902 (or 4060890 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 61400399760 in words is "sixty-one billion, four hundred million, three hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 4060873 8121746 12182619 16243492 20304365 24365238 28426111 32486984 36547857 40608730 48730476 56852222 60913095 64973968 73095714 81217460 85278333 97460952 109643571 113704444 121826190 142130555 146191428 162434920 170556666 182739285 194921904 219287142 227408888 243652380 255834999 284261110 292382856 324869840 341113332 365478570 426391665 438574284 454817776 487304760 511669998 548217855 568522220 584765712 682226664 730957140 767504997 852783330 877148568 974609520 1023339996 1096435710 1137044440 1279174995 1364453328 1461914280 1535009994 1705566660 1754297136 2046679992 2192871420 2274088880 2558349990 2923828560 3070019988 3411133320 3837524985 4093359984 4385742840 5116699980 6140039976 6822266640 7675049970 8771485680 10233399960 12280079952 15350099940 20466799920 30700199880 61400399760