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1354975999272 = 2332710725125649
BaseRepresentation
bin10011101101111010110…
…111001111010100101000
311210112102121101120121100
4103231322313033110220
5134144442323434042
62514244542041400
7166615365650550
oct23557267172450
94715377346540
101354975999272
1148270769a135
1219a72a879260
139aa09a4161c
144981cad0160
15253a558024c
hex13b7adcf528

1354975999272 has 96 divisors (see below), whose sum is σ = 4233169512000. Its totient is φ = 383517891072.

The previous prime is 1354975999199. The next prime is 1354975999303. The reversal of 1354975999272 is 2729995794531.

1354975999272 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 9 + 7 + 599 + 9 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1354975999272.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12508897 + ... + 12616752.

It is an arithmetic number, because the mean of its divisors is an integer number (44095515750).

Almost surely, 21354975999272 is an apocalyptic number.

1354975999272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1354975999272 is an abundant number, since it is smaller than the sum of its proper divisors (2878193512728).

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

1354975999272 is a wasteful number, since it uses less digits than its factorization.

1354975999272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25125775 (or 25125768 counting only the distinct ones).

The product of its digits is 385786800, while the sum is 72.

The spelling of 1354975999272 in words is "one trillion, three hundred fifty-four billion, nine hundred seventy-five million, nine hundred ninety-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 214 252 321 428 504 642 749 856 963 1284 1498 1926 2247 2568 2996 3852 4494 5992 6741 7704 8988 13482 17976 26964 53928 25125649 50251298 75376947 100502596 150753894 175879543 201005192 226130841 301507788 351759086 452261682 527638629 603015576 703518172 904523364 1055277258 1407036344 1582915887 1809046728 2110554516 2688444443 3165831774 4221109032 5376888886 6331663548 8065333329 10753777772 12663327096 16130666658 18819111101 21507555544 24195999987 32261333316 37638222202 48391999974 56457333303 64522666632 75276444404 96783999948 112914666606 150552888808 169371999909 193567999896 225829333212 338743999818 451658666424 677487999636 1354975999272