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161523203328 = 283329805811
BaseRepresentation
bin1001011001101110001…
…0000111110100000000
3120102220211101220011000
42112123202013310000
510121244420001303
6202111442452000
714445460401144
oct2263342076400
9512824356130
10161523203328
1162557701393
1227379964000
13123019c4376
147b63d37224
15430556bda3
hex259b887d00

161523203328 has 144 divisors (see below), whose sum is σ = 494123918400. Its totient is φ = 51984414720.

The previous prime is 161523203291. The next prime is 161523203363. The reversal of 161523203328 is 823302325161.

161523203328 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 2 + 320 + 3 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 161523203292 and 161523203301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202458 + ... + 603353.

It is an arithmetic number, because the mean of its divisors is an integer number (3431416100).

Almost surely, 2161523203328 is an apocalyptic number.

161523203328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

161523203328 is an abundant number, since it is smaller than the sum of its proper divisors (332600715072).

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

161523203328 is an equidigital number, since it uses as much as digits as its factorization.

161523203328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805865 (or 805845 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 161523203328 its reverse (823302325161), we get a palindrome (984825528489).

The spelling of 161523203328 in words is "one hundred sixty-one billion, five hundred twenty-three million, two hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 576 696 768 783 864 928 1044 1152 1392 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 5568 6264 6912 7424 8352 11136 12528 16704 22272 25056 33408 50112 66816 100224 200448 805811 1611622 2417433 3223244 4834866 6446488 7252299 9669732 12892976 14504598 19339464 21756897 23368519 25785952 29009196 38678928 43513794 46737038 51571904 58018392 70105557 77357856 87027588 93474076 103143808 116036784 140211114 154715712 174055176 186948152 206287616 210316671 232073568 280422228 309431424 348110352 373896304 420633342 464147136 560844456 618862848 630950013 696220704 747792608 841266684 928294272 1121688912 1261900026 1392441408 1495585216 1682533368 1856588544 2243377824 2523800052 2784882816 2991170432 3365066736 4486755648 5047600104 5569765632 5982340864 6730133472 8973511296 10095200208 13460266944 17947022592 20190400416 26920533888 40380800832 53841067776 80761601664 161523203328