Search a number
-
+
30633326061660 = 223257117991206051
BaseRepresentation
bin1101111011100011000001…
…00001001010100001011100
311000110111222011102011012100
412331301200201022201130
513003344022432433120
6145052431122405100
76311120243161650
oct675614041124134
9130414864364170
1030633326061660
11984057aa52a73
123528b3ab00790
13141293056a36a
1477c9376baa60
15381c9a770490
hex1bdc6084a85c

30633326061660 has 144 divisors (see below), whose sum is σ = 106196945766912. Its totient is φ = 7001809776000.

The previous prime is 30633326061659. The next prime is 30633326061683. The reversal of 30633326061660 is 6616062333603.

30633326061660 is a `hidden beast` number, since 3 + 0 + 6 + 3 + 3 + 3 + 26 + 0 + 616 + 6 + 0 = 666.

It is a super-2 number, since 2×306333260616602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148565635 + ... + 148771685.

It is an arithmetic number, because the mean of its divisors is an integer number (737478790048).

Almost surely, 230633326061660 is an apocalyptic number.

30633326061660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30633326061660 is an abundant number, since it is smaller than the sum of its proper divisors (75563619705252).

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

30633326061660 is a wasteful number, since it uses less digits than its factorization.

30633326061660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324064 (or 324059 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 30633326061660 in words is "thirty trillion, six hundred thirty-three billion, three hundred twenty-six million, sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 117991 206051 235982 353973 412102 471964 589955 618153 707946 824204 825937 1030255 1061919 1179910 1236306 1415892 1442357 1651874 1769865 1854459 2060510 2123838 2359820 2472612 2477811 2884714 3090765 3303748 3539730 3708918 4121020 4129685 4247676 4327071 4955622 5309595 5769428 6181530 7079460 7211785 7417836 7433433 8259370 8654142 9272295 9911244 10619190 12363060 12389055 12981213 14423570 14866866 16518740 17308284 18544590 21238380 21635355 24778110 25962426 28847140 29733732 37089180 37167165 43270710 49556220 51924852 64906065 74334330 86541420 129812130 148668660 259624260 24312163541 48624327082 72936490623 97248654164 121560817705 145872981246 170185144787 218809471869 243121635410 291745962492 340370289574 364682453115 437618943738 486243270820 510555434361 680740579148 729364906230 850925723935 875237887476 1021110868722 1094047359345 1458729812460 1531666303083 1701851447870 2042221737444 2188094718690 2552777171805 3063332606166 3403702895740 4376189437380 5105554343610 6126665212332 7658331515415 10211108687220 15316663030830 30633326061660