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13929674752 = 21173726261
BaseRepresentation
bin11001111100100010…
…11111100000000000
31022221210010210110201
430332101133200000
5212011444043002
610222121134544
71002122165440
oct147621374000
938853123421
1013929674752
1159a8a358a4
12284902a454
13140cb882c6
1496200c120
15567d91087
hex33e45f800

13929674752 has 96 divisors (see below), whose sum is σ = 32693038560. Its totient is φ = 5808291840.

The previous prime is 13929674747. The next prime is 13929674753. The reversal of 13929674752 is 25747692931.

It is a junction number, because it is equal to n+sod(n) for n = 13929674693 and 13929674702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13929674753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517302 + ... + 543562.

It is an arithmetic number, because the mean of its divisors is an integer number (340552485).

Almost surely, 213929674752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13929674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346519280).

13929674752 is an abundant number, since it is smaller than the sum of its proper divisors (18763363808).

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

13929674752 is an equidigital number, since it uses as much as digits as its factorization.

13929674752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26327 (or 26307 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 55.

The spelling of 13929674752 in words is "thirteen billion, nine hundred twenty-nine million, six hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1024 1036 1184 1792 2048 2072 2368 3584 4144 4736 7168 8288 9472 14336 16576 18944 26261 33152 37888 52522 66304 75776 105044 132608 183827 210088 265216 367654 420176 530432 735308 840352 971657 1470616 1680704 1943314 2941232 3361408 3886628 5882464 6722816 6801599 7773256 11764928 13445632 13603198 15546512 23529856 26891264 27206396 31093024 47059712 53782528 54412792 62186048 94119424 108825584 124372096 188238848 217651168 248744192 376477696 435302336 497488384 870604672 994976768 1741209344 1989953536 3482418688 6964837376 13929674752