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47386468374 = 23731672272393
BaseRepresentation
bin101100001000011101…
…000010000000010110
311112022110000000020020
4230020131002000112
51234021413441444
633434040250010
73265165223010
oct541035020026
9145273000206
1047386468374
1119107476063
129225770906
13461246c8cb
1424175a91b0
1513751e0119
hexb08742016

47386468374 has 128 divisors (see below), whose sum is σ = 114022121472. Its totient is φ = 12844465920.

The previous prime is 47386468291. The next prime is 47386468387.

47386468374 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×473864683743 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19800922 + ... + 19803314.

It is an arithmetic number, because the mean of its divisors is an integer number (890797824).

Almost surely, 247386468374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47386468374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57011060736).

47386468374 is an abundant number, since it is smaller than the sum of its proper divisors (66635653098).

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

47386468374 is a wasteful number, since it uses less digits than its factorization.

47386468374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730.

The product of its digits is 65028096, while the sum is 60.

The spelling of 47386468374 in words is "forty-seven billion, three hundred eighty-six million, four hundred sixty-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 67 93 134 186 201 217 227 402 434 454 469 651 681 938 1302 1362 1407 1589 2077 2393 2814 3178 4154 4767 4786 6231 7037 7179 9534 12462 14074 14358 14539 15209 16751 21111 29078 30418 33502 42222 43617 45627 49259 50253 74183 87234 91254 98518 100506 106463 147777 148366 160331 212926 222549 295554 319389 320662 445098 471479 480993 519281 543211 638778 942958 961986 1038562 1086422 1122317 1414437 1557843 1629633 2244634 2828874 3115686 3259266 3300353 3366951 3802477 4970261 6600706 6733902 7604954 9901059 9940522 11407431 14910783 16839541 19802118 22814862 29821566 33679082 34791827 36395137 50518623 69583654 72790274 101037246 104375481 109185411 117876787 208750962 218370822 235753574 254765959 353630361 509531918 707260722 764297877 1128249247 1528595754 2256498494 3384747741 6769495482 7897744729 15795489458 23693234187 47386468374