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161397306216 = 23341971184633
BaseRepresentation
bin1001011001010000000…
…1110111001101101000
3120102121001111122210000
42112110001313031220
510121020202244331
6202051144223000
714442401316156
oct2262401671550
9512531448700
10161397306216
11624a2631a93
122734376aa60
13122b18b4233
147b513243d6
1542e949e0e6
hex2594077368

161397306216 has 160 divisors (see below), whose sum is σ = 482559422400. Its totient is φ = 50249445120.

The previous prime is 161397306181. The next prime is 161397306251. The reversal of 161397306216 is 612603793161.

It is a happy number.

161397306216 is a `hidden beast` number, since 1 + 6 + 13 + 9 + 7 + 3 + 0 + 621 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (161397306181) and next prime (161397306251).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 781836 + ... + 966468.

It is an arithmetic number, because the mean of its divisors is an integer number (3015996390).

Almost surely, 2161397306216 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 161397306216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241279711200).

161397306216 is an abundant number, since it is smaller than the sum of its proper divisors (321162116184).

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

161397306216 is a wasteful number, since it uses less digits than its factorization.

161397306216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184741 (or 184728 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 161397306216 in words is "one hundred sixty-one billion, three hundred ninety-seven million, three hundred six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 71 72 76 81 108 114 142 152 162 171 213 216 228 284 324 342 426 456 513 568 639 648 684 852 1026 1278 1349 1368 1539 1704 1917 2052 2556 2698 3078 3834 4047 4104 5112 5396 5751 6156 7668 8094 10792 11502 12141 12312 15336 16188 23004 24282 32376 36423 46008 48564 72846 97128 109269 145692 184633 218538 291384 369266 437076 553899 738532 874152 1107798 1477064 1661697 2215596 3323394 3508027 4431192 4985091 6646788 7016054 9970182 10524081 13108943 13293576 14032108 14955273 19940364 21048162 26217886 28064216 29910546 31572243 39326829 39880728 42096324 52435772 59821092 63144486 78653658 84192648 94716729 104871544 117980487 119642184 126288972 157307316 189433458 235960974 249069917 252577944 284150187 314614632 353941461 378866916 471921948 498139834 568300374 707882922 747209751 757733832 943843896 996279668 1061824383 1136600748 1415765844 1494419502 1992559336 2123648766 2241629253 2273201496 2831531688 2988839004 4247297532 4483258506 5977678008 6724887759 8494595064 8966517012 13449775518 17933034024 20174663277 26899551036 40349326554 53799102072 80698653108 161397306216