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45460313472 = 273716912319
BaseRepresentation
bin101010010101101001…
…010101010110000000
311100100012121012102210
4222111221111112000
51221100320012342
632514552142120
73166356201030
oct522551252600
9140305535383
1045460313472
1118309186402
128988697940
1343963ac292
1422b38538c0
1512b106779c
hexa95a55580

45460313472 has 64 divisors (see below), whose sum is σ = 138004531200. Its totient is φ = 12988660224.

The previous prime is 45460313443. The next prime is 45460313497. The reversal of 45460313472 is 27431306454.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45460313472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8453472 + ... + 8458847.

It is an arithmetic number, because the mean of its divisors is an integer number (2156320800).

Almost surely, 245460313472 is an apocalyptic number.

45460313472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45460313472 is an abundant number, since it is smaller than the sum of its proper divisors (92544217728).

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

45460313472 is a wasteful number, since it uses less digits than its factorization.

45460313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912343 (or 16912331 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 45460313472 in words is "forty-five billion, four hundred sixty million, three hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 16912319 33824638 50736957 67649276 101473914 118386233 135298552 202947828 236772466 270597104 355158699 405895656 473544932 541194208 710317398 811791312 947089864 1082388416 1420634796 1623582624 1894179728 2164776832 2841269592 3247165248 3788359456 5682539184 6494330496 7576718912 11365078368 15153437824 22730156736 45460313472