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1453632480060 = 2235792111453429
BaseRepresentation
bin10101001001110011001…
…111110110001100111100
312010222002010222001222020
4111021303033312030330
5142304014403330220
63031442312520140
7210010240132455
oct25116317661474
95128063861866
101453632480060
11510533703382
121b58826b0050
13a71000b9787
14504db54212c
1527c2b880040
hex152733f633c

1453632480060 has 96 divisors (see below), whose sum is σ = 4141229030400. Its totient is φ = 380914410240.

The previous prime is 1453632480043. The next prime is 1453632480073. The reversal of 1453632480060 is 600842363541.

It is a super-2 number, since 2×14536324800602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1453632479994 and 1453632480021.

It is a congruent number.

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, 273426 + ... + 1726854.

It is an arithmetic number, because the mean of its divisors is an integer number (43137802400).

Almost surely, 21453632480060 is an apocalyptic number.

1453632480060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453632480060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070614515200).

1453632480060 is an abundant number, since it is smaller than the sum of its proper divisors (2687596550340).

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

1453632480060 is a wasteful number, since it uses less digits than its factorization.

1453632480060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453731 (or 1453729 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1453632480060 in words is "one trillion, four hundred fifty-three billion, six hundred thirty-two million, four hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 211 237 316 395 422 474 633 790 844 948 1055 1185 1266 1580 2110 2370 2532 3165 4220 4740 6330 12660 16669 33338 50007 66676 83345 100014 166690 200028 250035 333380 500070 1000140 1453429 2906858 4360287 5813716 7267145 8720574 14534290 17441148 21801435 29068580 43602870 87205740 114820891 229641782 306673519 344462673 459283564 574104455 613347038 688925346 920020557 1148208910 1226694076 1377850692 1533367595 1722313365 1840041114 2296417820 3066735190 3444626730 3680082228 4600102785 6133470380 6889253460 9200205570 18400411140 24227208001 48454416002 72681624003 96908832004 121136040005 145363248006 242272080010 290726496012 363408120015 484544160020 726816240030 1453632480060