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1378390111872 = 27323227687523
BaseRepresentation
bin10100000011101110011…
…100111111011010000000
311212202212101011201212220
4110003232130333122000
5140040420332034442
62533120151451040
7201404535430524
oct24035634773200
94782771151786
101378390111872
11491632313514
121a3184086a80
139cc9b843817
144aa005b7d84
1525cc5ddeeec
hex140ee73f680

1378390111872 has 128 divisors (see below), whose sum is σ = 3837373954560. Its totient is φ = 437550001152.

The previous prime is 1378390111843. The next prime is 1378390111897. The reversal of 1378390111872 is 2781110938731.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1661103 + ... + 2348625.

It is an arithmetic number, because the mean of its divisors is an integer number (29979484020).

Almost surely, 21378390111872 is an apocalyptic number.

1378390111872 is a gapful number since it is divisible by the number (12) 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 1378390111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918686977280).

1378390111872 is an abundant number, since it is smaller than the sum of its proper divisors (2458983842688).

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

1378390111872 is a wasteful number, since it uses less digits than its factorization.

1378390111872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687790 (or 687778 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The spelling of 1378390111872 in words is "one trillion, three hundred seventy-eight billion, three hundred ninety million, one hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 227 276 368 384 454 552 681 736 908 1104 1362 1472 1816 2208 2724 2944 3632 4416 5221 5448 7264 8832 10442 10896 14528 15663 20884 21792 29056 31326 41768 43584 62652 83536 87168 125304 167072 250608 334144 501216 668288 687523 1002432 1375046 2004864 2062569 2750092 4125138 5500184 8250276 11000368 15813029 16500552 22000736 31626058 33001104 44001472 47439087 63252116 66002208 88002944 94878174 126504232 132004416 156067721 189756348 253008464 264008832 312135442 379512696 468203163 506016928 624270884 759025392 936406326 1012033856 1248541768 1518050784 1872812652 2024067712 2497083536 3036101568 3589557583 3745625304 4994167072 6072203136 7179115166 7491250608 9988334144 10768672749 14358230332 14982501216 19976668288 21537345498 28716460664 29965002432 43074690996 57432921328 59930004864 86149381992 114865842656 172298763984 229731685312 344597527968 459463370624 689195055936 1378390111872