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49029856960 = 2657130716747
BaseRepresentation
bin101101101010011010…
…000011111011000000
311200112222022210120011
4231222122003323000
51300403120410320
634305103554304
73354001623250
oct555232037300
9150488283504
1049029856960
1119880092247
129603bbb994
134814a876a6
142531955960
15141e61005a
hexb6a683ec0

49029856960 has 112 divisors (see below), whose sum is σ = 133541316864. Its totient is φ = 16796371968.

The previous prime is 49029856913. The next prime is 49029856963. The reversal of 49029856960 is 6965892094.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 49029856895 and 49029856904.

It is not an unprimeable number, because it can be changed into a prime (49029856963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2919307 + ... + 2936053.

Almost surely, 249029856960 is an apocalyptic number.

49029856960 is a gapful number since it is divisible by the number (40) 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 49029856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66770658432).

49029856960 is an abundant number, since it is smaller than the sum of its proper divisors (84511459904).

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

49029856960 is a wasteful number, since it uses less digits than its factorization.

49029856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18078 (or 18068 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 49029856960 in words is "forty-nine billion, twenty-nine million, eight hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1307 2240 2614 5228 6535 9149 10456 13070 16747 18298 20912 26140 33494 36596 41824 45745 52280 66988 73192 83648 83735 91490 104560 117229 133976 146384 167470 182980 209120 234458 267952 292768 334940 365960 418240 468916 535904 585536 586145 669880 731920 937832 1071808 1172290 1339760 1463840 1875664 2344580 2679520 2927680 3751328 4689160 5359040 7502656 9378320 18756640 21888329 37513280 43776658 87553316 109441645 153218303 175106632 218883290 306436606 350213264 437766580 612873212 700426528 766091515 875533160 1225746424 1400853056 1532183030 1751066320 2451492848 3064366060 3502132640 4902985696 6128732120 7004265280 9805971392 12257464240 24514928480 49029856960