Search a number
-
+
132863041471602 = 231337711095948713
BaseRepresentation
bin11110001101011010010110…
…011001000000010001110010
3122102102120201210122110011010
4132031122112121000101302
5114403312002104042402
61150324234424531350
736662016011526441
oct3615322631002162
9572376653573133
10132863041471602
11393749991a6462
1212a998b7920b56
135919c14697c30
1424b4869786d58
151056115102a6c
hex78d696640472

132863041471602 has 128 divisors (see below), whose sum is σ = 300774594193920. Its totient is φ = 38856034990080.

The previous prime is 132863041471591. The next prime is 132863041471603. The reversal of 132863041471602 is 206174140368231.

It is not an unprimeable number, because it can be changed into a prime (132863041471603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19360398 + ... + 25309110.

It is an arithmetic number, because the mean of its divisors is an integer number (2349801517140).

Almost surely, 2132863041471602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132863041471602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150387297096960).

132863041471602 is an abundant number, since it is smaller than the sum of its proper divisors (167911552722318).

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

132863041471602 is a wasteful number, since it uses less digits than its factorization.

132863041471602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948948.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 132863041471602 in words is "one hundred thirty-two trillion, eight hundred sixty-three billion, forty-one million, four hundred seventy-one thousand, six hundred two".

Divisors: 1 2 3 6 13 26 37 39 71 74 78 109 111 142 213 218 222 327 426 481 654 923 962 1417 1443 1846 2627 2769 2834 2886 4033 4251 5254 5538 7739 7881 8066 8502 12099 15478 15762 23217 24198 34151 46434 52429 68302 100607 102453 104858 157287 201214 204906 286343 301821 314574 572686 603642 859029 1718058 3722459 5948713 7444918 11167377 11897426 17846139 22334754 35692278 77333269 154666538 220102381 231999807 422358623 440204762 463999614 648409717 660307143 844717246 1267075869 1296819434 1320614286 1945229151 2534151738 2861330953 3890458302 5490662099 5722661906 8429326321 8583992859 10981324198 15627269051 16471986297 16858652642 17167985718 23991159529 25287978963 31254538102 32943972594 46037089907 46881807153 47982319058 50575957926 71973478587 92074179814 93763614306 138111269721 143946957174 203154497663 276222539442 311885073877 406308995326 598482168791 609463492989 623770147754 935655221631 1196964337582 1218926985978 1703372326559 1795446506373 1871310443262 3406744653118 3590893012746 5110116979677 10220233959354 22143840245267 44287680490534 66431520735801 132863041471602