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161336014952 = 237195914271801
BaseRepresentation
bin1001011001000001100…
…0000011100001101000
3120102102210011201222012
42112100120003201220
510120404004434302
6202041114415052
714441025333350
oct2262030034150
9512383151865
10161336014952
1162470a79a52
1227327131488
13122a1ca4608
147b4712bb60
1542e3de3a52
hex2590603868

161336014952 has 128 divisors (see below), whose sum is σ = 370548864000. Its totient is φ = 64313740800.

The previous prime is 161336014907. The next prime is 161336014967. The reversal of 161336014952 is 259410633161.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89580452 + ... + 89582252.

It is an arithmetic number, because the mean of its divisors is an integer number (2894913000).

Almost surely, 2161336014952 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 161336014952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185274432000).

161336014952 is an abundant number, since it is smaller than the sum of its proper divisors (209212849048).

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

161336014952 is a wasteful number, since it uses less digits than its factorization.

161336014952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 161336014952 in words is "one hundred sixty-one billion, three hundred thirty-six million, fourteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 59 76 118 133 152 236 266 413 472 532 826 1064 1121 1427 1652 1801 2242 2854 3304 3602 4484 5708 7204 7847 8968 9989 11416 12607 14408 15694 19978 25214 27113 31388 34219 39956 50428 54226 62776 68438 79912 84193 100856 106259 108452 136876 168386 189791 212518 216904 239533 273752 336772 379582 425036 479066 589351 673544 743813 759164 850072 958132 1178702 1487626 1518328 1599667 1916264 2018921 2357404 2570027 2975252 3199334 4037842 4714808 5140054 5950504 6398668 8075684 10280108 11197669 12797336 14132447 16151368 17990189 20560216 22395338 28264894 35980378 44790676 48830513 56529788 71960756 89581352 97661026 113059576 143921512 151631593 195322052 303263186 341813591 390644104 606526372 683627182 1061421151 1213052744 1367254364 2122842302 2734508728 2881000267 4245684604 5762000534 8491369208 11524001068 20167001869 23048002136 40334003738 80668007476 161336014952