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1326746552404 = 2271321931476023
BaseRepresentation
bin10011010011101000010…
…000011100100001010100
311200211120020201002112011
4103103220100130201110
5133214134104134104
62453255435034004
7164566005423310
oct23235020344124
94624506632464
101326746552404
11471740927959
1219517089b904
139815b429300
1448301894b40
15247a20e4904
hex134e841c854

1326746552404 has 144 divisors (see below), whose sum is σ = 3122108129280. Its totient is φ = 481201119360.

The previous prime is 1326746552321. The next prime is 1326746552413. The reversal of 1326746552404 is 4042556476231.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2549137 + ... + 3025159.

Almost surely, 21326746552404 is an apocalyptic number.

1326746552404 is a gapful number since it is divisible by the number (14) 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 1326746552404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561054064640).

1326746552404 is an abundant number, since it is smaller than the sum of its proper divisors (1795361576876).

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

1326746552404 is a wasteful number, since it uses less digits than its factorization.

1326746552404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476110 (or 476095 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 1326746552404 in words is "one trillion, three hundred twenty-six billion, seven hundred forty-six million, five hundred fifty-two thousand, four hundred four".

Divisors: 1 2 4 7 13 14 19 26 28 31 38 52 62 76 91 124 133 169 182 217 247 266 338 364 403 434 494 532 589 676 806 868 988 1178 1183 1612 1729 2356 2366 2821 3211 3458 4123 4732 5239 5642 6422 6916 7657 8246 10478 11284 12844 15314 16492 20956 22477 30628 36673 44954 53599 73346 89908 99541 107198 146692 199082 214396 398164 476023 696787 952046 1393574 1904092 2787148 3332161 6188299 6664322 9044437 12376598 13328644 14756713 18088874 24753196 29513426 36177748 43318093 59026852 63311059 80447887 86636186 103296991 117577681 126622118 160895774 173272372 191837269 206593982 235155362 253244236 280377547 321791548 383674538 413187964 470310724 560755094 563135209 767349076 823043767 1121510188 1126270418 1342860883 1528509853 1646087534 1962642829 2252540836 2493884497 2685721766 3057019706 3292175068 3644908111 3925285658 4987768994 5371443532 6114039412 7289816222 7850571316 9975537988 10699568971 14579632444 17457191479 21399137942 25514356777 34914382958 42798275884 47383805443 51028713554 69828765916 94767610886 102057427108 189535221772 331686638101 663373276202 1326746552404