Search a number
-
+
68455354000 = 2453113111607
BaseRepresentation
bin111111110000010000…
…011100111010010000
320112200202211021220111
4333300100130322100
52110144032312000
651240431451104
74642246623355
oct776020347220
9215622737814
1068455354000
1127039298730
1211325686a94
1365bc422c37
14345581062c
151ba9be7cba
hexff041ce90

68455354000 has 80 divisors (see below), whose sum is σ = 180572835456. Its totient is φ = 24892848000.

The previous prime is 68455353977. The next prime is 68455354001. The reversal of 68455354000 is 45355486.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×684553540002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (68455354001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533804 + ... + 1577803.

Almost surely, 268455354000 is an apocalyptic number.

It is an amenable number.

68455354000 is an abundant number, since it is smaller than the sum of its proper divisors (112117481456).

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

68455354000 is a wasteful number, since it uses less digits than its factorization.

68455354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111641 (or 3111625 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 68455354000 in words is "sixty-eight billion, four hundred fifty-five million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 3111607 6223214 12446428 15558035 24892856 31116070 34227677 49785712 62232140 68455354 77790175 124464280 136910708 155580350 171138385 248928560 273821416 311160700 342276770 388950875 547642832 622321400 684553540 777901750 855691925 1244642800 1369107080 1555803500 1711383850 2738214160 3111607000 3422767700 4278459625 6223214000 6845535400 8556919250 13691070800 17113838500 34227677000 68455354000