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63948157312 = 2713377114629
BaseRepresentation
bin111011100011100110…
…110111000110000000
320010001122201222101211
4323203212313012000
52021431212013222
645213302535504
74422460240264
oct734346670600
9203048658354
1063948157312
1125136082096
1210488137594
1360516c9850
143148d900a4
1519e4187277
hexee39b7180

63948157312 has 128 divisors (see below), whose sum is σ = 142898817600. Its totient is φ = 28310446080.

The previous prime is 63948157297. The next prime is 63948157319. The reversal of 63948157312 is 21375184936.

63948157312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63948157319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4364014 + ... + 4378642.

Almost surely, 263948157312 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 63948157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71449408800).

63948157312 is an abundant number, since it is smaller than the sum of its proper divisors (78950660288).

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

63948157312 is a wasteful number, since it uses less digits than its factorization.

63948157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764 (or 14752 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The spelling of 63948157312 in words is "sixty-three billion, nine hundred forty-eight million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 71 74 104 128 142 148 208 284 296 416 481 568 592 832 923 962 1136 1184 1664 1846 1924 2272 2368 2627 3692 3848 4544 4736 5254 7384 7696 9088 10508 14629 14768 15392 21016 29258 29536 30784 34151 42032 58516 59072 61568 68302 84064 117032 118144 136604 168128 190177 234064 273208 336256 380354 468128 541273 546416 760708 936256 1038659 1082546 1092832 1521416 1872512 2077318 2165092 2185664 3042832 4154636 4330184 4371328 6085664 7036549 8309272 8660368 12171328 13502567 14073098 16618544 17320736 24342656 27005134 28146196 33237088 34641472 38430383 54010268 56292392 66474176 69282944 76860766 108020536 112584784 132948352 153721532 216041072 225169568 307443064 432082144 450339136 499594979 614886128 864164288 900678272 999189958 1229772256 1728328576 1998379916 2459544512 3996759832 4919089024 7993519664 15987039328 31974078656 63948157312