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1468134692460 = 22345906255983
BaseRepresentation
bin10101010111010011101…
…001011001011001101100
312012100111211102210110000
4111113103221121121230
5143023214440124320
63042241325344300
7211032513661212
oct25272351313154
95170454383400
101468134692460
115166a583a187
121b864b408090
13a85a1776747
14510b55c8cb2
15282c9b16c90
hex155d3a5966c

1468134692460 has 60 divisors (see below), whose sum is σ = 4605592910688. Its totient is φ = 391502584224.

The previous prime is 1468134692447. The next prime is 1468134692461. The reversal of 1468134692460 is 642964318641.

1468134692460 is a `hidden beast` number, since 1 + 4 + 68 + 1 + 34 + 6 + 92 + 460 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×14681346924603 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1468134692397 and 1468134692406.

It is not an unprimeable number, because it can be changed into a prime (1468134692461) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 453126372 + ... + 453129611.

Almost surely, 21468134692460 is an apocalyptic number.

1468134692460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468134692460 is an abundant number, since it is smaller than the sum of its proper divisors (3137458218228).

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

1468134692460 is a wasteful number, since it uses less digits than its factorization.

1468134692460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906256004 (or 906255993 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1468134692460 in words is "one trillion, four hundred sixty-eight billion, one hundred thirty-four million, six hundred ninety-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 906255983 1812511966 2718767949 3625023932 4531279915 5437535898 8156303847 9062559830 10875071796 13593839745 16312607694 18125119660 24468911541 27187679490 32625215388 40781519235 48937823082 54375358980 73406734623 81563038470 97875646164 122344557705 146813469246 163126076940 244689115410 293626938492 367033673115 489378230820 734067346230 1468134692460