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163138705344 = 2633175553469
BaseRepresentation
bin1001011111101111010…
…0110001011111000000
3120121002102020220022000
42113323310301133000
510133102002032334
6202540032344000
714533505054436
oct2277364613700
9517072226260
10163138705344
1163206600a1a
122774a9a5000
13124cb5c7114
147c78704d56
15439c2ce299
hex25fbd317c0

163138705344 has 112 divisors (see below), whose sum is σ = 507809296800. Its totient is φ = 51180761088.

The previous prime is 163138705343. The next prime is 163138705349. The reversal of 163138705344 is 443507831361.

163138705344 is a `hidden beast` number, since 1 + 6 + 31 + 3 + 87 + 0 + 534 + 4 = 666.

It is a super-2 number, since 2×1631387053442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 163138705344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163138705343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2747359 + ... + 2806110.

Almost surely, 2163138705344 is an apocalyptic number.

It is an amenable number.

163138705344 is an abundant number, since it is smaller than the sum of its proper divisors (344670591456).

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

163138705344 is a wasteful number, since it uses less digits than its factorization.

163138705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553507 (or 5553491 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 163138705344 in words is "one hundred sixty-three billion, one hundred thirty-eight million, seven hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 5553469 11106938 16660407 22213876 33320814 44427752 49981221 66641628 88855504 94408973 99962442 133283256 149943663 177711008 188817946 199924884 266566512 283226919 299887326 355422016 377635892 399849768 533133024 566453838 599774652 755271784 799699536 849680757 1066266048 1132907676 1199549304 1510543568 1599399072 1699361514 2265815352 2399098608 2549042271 3021087136 3198798144 3398723028 4531630704 4798197216 5098084542 6042174272 6797446056 9063261408 9596394432 10196169084 13594892112 18126522816 20392338168 27189784224 40784676336 54379568448 81569352672 163138705344