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48378501756 = 22321328779067
BaseRepresentation
bin101101000011100101…
…010101101001111100
311121212120200112012100
4231003211111221330
51243034344024011
634120315105100
73331602323424
oct550345255174
9147776615170
1048378501756
1119576448462
129461a42190
13473cb4a900
1424ad241484
1513d234ad56
hexb43955a7c

48378501756 has 108 divisors (see below), whose sum is σ = 132586256712. Its totient is φ = 14867079552.

The previous prime is 48378501739. The next prime is 48378501781. The reversal of 48378501756 is 65710587384.

It is a happy number.

48378501756 is a `hidden beast` number, since 4 + 83 + 7 + 8 + 501 + 7 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5331135 + ... + 5340201.

Almost surely, 248378501756 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 48378501756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66293128356).

48378501756 is an abundant number, since it is smaller than the sum of its proper divisors (84207754956).

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

48378501756 is a wasteful number, since it uses less digits than its factorization.

48378501756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 48378501756 in words is "forty-eight billion, three hundred seventy-eight million, five hundred one thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 877 1014 1521 1754 2028 2631 3042 3508 5262 6084 7893 9067 10524 11401 15786 18134 22802 27201 31572 34203 36268 45604 54402 68406 81603 102609 108804 117871 136812 148213 163206 205218 235742 296426 326412 353613 410436 444639 471484 592852 707226 889278 1060839 1333917 1414452 1532323 1778556 2121678 2667834 3064646 4243356 4596969 5335668 6129292 7951759 9193938 13790907 15903518 18387876 23855277 27581814 31807036 47710554 55163628 71565831 95421108 103372867 143131662 206745734 286263324 310118601 413491468 620237202 930355803 1240474404 1343847271 1860711606 2687694542 3721423212 4031541813 5375389084 8063083626 12094625439 16126167252 24189250878 48378501756