Search a number
-
+
164709549120 = 2635171572447
BaseRepresentation
bin1001100101100101110…
…1000100010001000000
3120202010220002000212010
42121121131010101000
510144311121032440
6203355545132520
714620441032054
oct2313135042100
9522126060763
10164709549120
1163942279116
1227b08a8a140
13126bbb91c8c
147d871a9c64
15444016e580
hex2659744440

164709549120 has 56 divisors (see below), whose sum is σ = 522952821504. Its totient is φ = 43922546176.

The previous prime is 164709549083. The next prime is 164709549127. The reversal of 164709549120 is 21945907461.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 164709549120.

It is not an unprimeable number, because it can be changed into a prime (164709549127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85785264 + ... + 85787183.

Almost surely, 2164709549120 is an apocalyptic number.

164709549120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164709549120 is an abundant number, since it is smaller than the sum of its proper divisors (358243272384).

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

164709549120 is a wasteful number, since it uses less digits than its factorization.

164709549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171572467 (or 171572457 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 164709549120 in words is "one hundred sixty-four billion, seven hundred nine million, five hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 171572447 343144894 514717341 686289788 857862235 1029434682 1372579576 1715724470 2058869364 2573586705 2745159152 3431448940 4117738728 5147173410 5490318304 6862897880 8235477456 10294346820 10980636608 13725795760 16470954912 20588693640 27451591520 32941909824 41177387280 54903183040 82354774560 164709549120