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164722923648 = 2733172803699
BaseRepresentation
bin1001100101101001000…
…0000101100010000000
3120202011211020112021000
42121122100011202000
510144323032024043
6203401143532000
714620662514623
oct2313220054200
9522154215230
10164722923648
1163949883648
1227b1145a000
13126c18957ba
147d88c8bdba
1544414122d3
hex265a405880

164722923648 has 128 divisors (see below), whose sum is σ = 514759320000. Its totient is φ = 51677761536.

The previous prime is 164722923619. The next prime is 164722923661. The reversal of 164722923648 is 846329227461.

It is a happy number.

164722923648 is a `hidden beast` number, since 16 + 47 + 229 + 2 + 364 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164722923594 and 164722923603.

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, 1343098 + ... + 1460601.

Almost surely, 2164722923648 is an apocalyptic number.

164722923648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164722923648 is an abundant number, since it is smaller than the sum of its proper divisors (350036396352).

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

164722923648 is a wasteful number, since it uses less digits than its factorization.

164722923648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803739 (or 2803721 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 164722923648 in words is "one hundred sixty-four billion, seven hundred twenty-two million, nine hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 2803699 5607398 8411097 11214796 16822194 22429592 25233291 33644388 44859184 47662883 50466582 67288776 75699873 89718368 95325766 100933164 134577552 142988649 151399746 179436736 190651532 201866328 269155104 285977298 302799492 358873472 381303064 403732656 428965947 538310208 571954596 605598984 762606128 807465312 857931894 1076620416 1143909192 1211197968 1286897841 1525212256 1614930624 1715863788 2287818384 2422395936 2573795682 3050424512 3229861248 3431727576 4575636768 4844791872 5147591364 6100849024 6863455152 9151273536 9689583744 10295182728 13726910304 18302547072 20590365456 27453820608 41180730912 54907641216 82361461824 164722923648