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13978194432 = 29323217203
BaseRepresentation
bin11010000010010101…
…00101001000000000
31100002011102211221220
431001022211020000
5212111404210212
610231013115040
71003251456306
oct150112451000
940064384856
1013978194432
115a23365404
122861328a80
131419c45987
1496863c276
1556c27738c
hex3412a5200

13978194432 has 120 divisors (see below), whose sum is σ = 38930518704. Its totient is φ = 4456556544.

The previous prime is 13978194431. The next prime is 13978194479. The reversal of 13978194432 is 23449187931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13978194431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 803943 + ... + 821145.

Almost surely, 213978194432 is an apocalyptic number.

13978194432 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 13978194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465259352).

13978194432 is an abundant number, since it is smaller than the sum of its proper divisors (24952324272).

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

13978194432 is an equidigital number, since it uses as much as digits as its factorization.

13978194432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17270 (or 17231 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 13978194432 in words is "thirteen billion, nine hundred seventy-eight million, one hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 529 552 736 768 1058 1104 1472 1536 1587 2116 2208 2944 3174 4232 4416 5888 6348 8464 8832 11776 12696 16928 17203 17664 25392 33856 34406 35328 50784 51609 67712 68812 101568 103218 135424 137624 203136 206436 270848 275248 395669 406272 412872 550496 791338 812544 825744 1100992 1187007 1582676 1651488 2201984 2374014 3165352 3302976 4403968 4748028 6330704 6605952 8807936 9100387 9496056 12661408 13211904 18200774 18992112 25322816 26423808 27301161 36401548 37984224 50645632 54602322 72803096 75968448 101291264 109204644 145606192 151936896 202582528 218409288 291212384 303873792 436818576 582424768 607747584 873637152 1164849536 1747274304 2329699072 3494548608 4659398144 6989097216 13978194432