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47046510672 = 24372319331543
BaseRepresentation
bin101011110100001100…
…001100100001010000
311111102202022100221020
4223310030030201100
51232322401320142
633340213555440
73253566512460
oct536414144120
9144382270836
1047046510672
1118a5258a887
12914b945b80
134589bc15c5
1423c4393ba0
15135543bcec
hexaf430c850

47046510672 has 160 divisors (see below), whose sum is σ = 145693913088. Its totient is φ = 12790407168.

The previous prime is 47046510671. The next prime is 47046510697. The reversal of 47046510672 is 27601564074.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47046510671) 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, 1475733 + ... + 1507275.

Almost surely, 247046510672 is an apocalyptic number.

47046510672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47046510672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72846956544).

47046510672 is an abundant number, since it is smaller than the sum of its proper divisors (98647402416).

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

47046510672 is a wasteful number, since it uses less digits than its factorization.

47046510672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31777 (or 31771 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 47046510672 in words is "forty-seven billion, forty-six million, five hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 193 276 322 336 368 386 483 552 579 644 772 966 1104 1158 1288 1351 1544 1932 2316 2576 2702 3088 3864 4053 4439 4632 5404 7728 8106 8878 9264 10808 13317 16212 17756 21616 26634 31073 31543 32424 35512 53268 62146 63086 64848 71024 93219 94629 106536 124292 126172 186438 189258 213072 220801 248584 252344 372876 378516 441602 497168 504688 662403 725489 745752 757032 883204 1324806 1450978 1491504 1514064 1766408 2176467 2649612 2901956 3532816 4352934 5078423 5299224 5803912 6087799 8705868 10156846 10598448 11607824 12175598 15235269 17411736 18263397 20313692 24351196 30470538 34823472 36526794 40627384 42614593 48702392 60941076 73053588 81254768 85229186 97404784 121882152 127843779 140019377 146107176 170458372 243764304 255687558 280038754 292214352 340916744 420058131 511375116 560077508 681833488 840116262 980135639 1022750232 1120155016 1680232524 1960271278 2045500464 2240310032 2940406917 3360465048 3920542556 5880813834 6720930096 7841085112 11761627668 15682170224 23523255336 47046510672