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47378115312 = 24311253153913
BaseRepresentation
bin101100000111111101…
…001010101011110000
311112021212021121222120
4230013331022223300
51234012244142222
633433141234240
73265034223033
oct540775125360
9145255247876
1047378115312
1119102790300
129222a02980
134610806878
14241643301a
1513745e015c
hexb07f4aaf0

47378115312 has 120 divisors (see below), whose sum is σ = 137070883152. Its totient is φ = 14086026240.

The previous prime is 47378115307. The next prime is 47378115313. The reversal of 47378115312 is 21351187374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47378115313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 230868 + ... + 384780.

Almost surely, 247378115312 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 47378115312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68535441576).

47378115312 is an abundant number, since it is smaller than the sum of its proper divisors (89692767840).

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

47378115312 is a wasteful number, since it uses less digits than its factorization.

47378115312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153999 (or 153982 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The spelling of 47378115312 in words is "forty-seven billion, three hundred seventy-eight million, one hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 121 132 159 176 212 242 264 318 363 424 484 528 583 636 726 848 968 1166 1272 1452 1749 1936 2332 2544 2904 3498 4664 5808 6413 6996 9328 12826 13992 19239 25652 27984 38478 51304 76956 102608 153912 153913 307824 307826 461739 615652 923478 1231304 1693043 1846956 2462608 3386086 3693912 5079129 6772172 7387824 8157389 10158258 13544344 16314778 18623473 20316516 24472167 27088688 32629556 37246946 40633032 48944334 55870419 65259112 74493892 81266064 89731279 97888668 111740838 130518224 148987784 179462558 195777336 223481676 269193837 297975568 358925116 391554672 446963352 538387674 717850232 893926704 987044069 1076775348 1435700464 1974088138 2153550696 2961132207 3948176276 4307101392 5922264414 7896352552 11844528828 15792705104 23689057656 47378115312