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327056013984 = 25372272144011
BaseRepresentation
bin1001100001001100000…
…11101011101010100000
31011021012002120221112010
410300212003223222200
520324302314421414
6410125241232520
732425516151520
oct4604603535240
91137162527463
10327056013984
11116781659037
1253476492740
1324ac22c203b
1411b885a5680
158792b0a959
hex4c260ebaa0

327056013984 has 96 divisors (see below), whose sum is σ = 985490827776. Its totient is φ = 93032881920.

The previous prime is 327056013983. The next prime is 327056013997. The reversal of 327056013984 is 489310650723.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (327056013983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919462 + ... + 1224549.

It is an arithmetic number, because the mean of its divisors is an integer number (10265529456).

It is a 1-persistent number, because it is pandigital, but 2⋅327056013984 = 654112027968 is not.

Almost surely, 2327056013984 is an apocalyptic number.

It is an amenable number.

327056013984 is an abundant number, since it is smaller than the sum of its proper divisors (658434813792).

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

327056013984 is a wasteful number, since it uses less digits than its factorization.

327056013984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144258 (or 2144250 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 327056013984 in words is "three hundred twenty-seven billion, fifty-six million, thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 227 336 454 672 681 908 1362 1589 1816 2724 3178 3632 4767 5448 6356 7264 9534 10896 12712 19068 21792 25424 38136 50848 76272 152544 2144011 4288022 6432033 8576044 12864066 15008077 17152088 25728132 30016154 34304176 45024231 51456264 60032308 68608352 90048462 102912528 120064616 180096924 205825056 240129232 360193848 480258464 486690497 720387696 973380994 1440775392 1460071491 1946761988 2920142982 3406833479 3893523976 5840285964 6813666958 7787047952 10220500437 11680571928 13627333916 15574095904 20441000874 23361143856 27254667832 40882001748 46722287712 54509335664 81764003496 109018671328 163528006992 327056013984