Search a number
-
+
47311752072 = 233134313725741
BaseRepresentation
bin101100000100000000…
…000000101110001000
311112010020102000201210
4230010000000232020
51233343302031242
633422411013120
73263300154144
oct540400005610
9145106360653
1047311752072
1119079283652
12920473a1a0
1345ccb3c490
14240b6ba224
15136d881d9c
hexb04000b88

47311752072 has 128 divisors (see below), whose sum is σ = 131296556160. Its totient is φ = 14114580480.

The previous prime is 47311752071. The next prime is 47311752079. The reversal of 47311752072 is 27025711374.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 47311752072.

It is not an unprimeable number, because it can be changed into a prime (47311752071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1825122 + ... + 1850862.

It is an arithmetic number, because the mean of its divisors is an integer number (1025754345).

Almost surely, 247311752072 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 47311752072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65648278080).

47311752072 is an abundant number, since it is smaller than the sum of its proper divisors (83984804088).

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

47311752072 is a wasteful number, since it uses less digits than its factorization.

47311752072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25943 (or 25939 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 47311752072 in words is "forty-seven billion, three hundred eleven million, seven hundred fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 137 156 172 258 274 312 344 411 516 548 559 822 1032 1096 1118 1644 1677 1781 2236 3288 3354 3562 4472 5343 5891 6708 7124 10686 11782 13416 14248 17673 21372 23564 25741 35346 42744 47128 51482 70692 76583 77223 102964 141384 153166 154446 205928 229749 306332 308892 334633 459498 612664 617784 669266 918996 1003899 1106863 1338532 1837992 2007798 2213726 2677064 3320589 3526517 4015596 4427452 6641178 7053034 8031192 8854904 10579551 13282356 14106068 14389219 21159102 26564712 28212136 28778438 42318204 43167657 45844721 57556876 84636408 86335314 91689442 115113752 137534163 151640231 172670628 183378884 275068326 303280462 345341256 366757768 454920693 550136652 606560924 909841386 1100273304 1213121848 1819682772 1971323003 3639365544 3942646006 5913969009 7885292012 11827938018 15770584024 23655876036 47311752072