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164258630648 = 2373296773049
BaseRepresentation
bin1001100011111010010…
…0111100101111111000
3120200222110120222222222
42120332210330233320
510142400202140043
6203243120303212
714603324216000
oct2307644745770
9520873528888
10164258630648
1163730795422
1227a01a71b08
1312649633208
147d4334d000
15441579dd68
hex263e93cbf8

164258630648 has 128 divisors (see below), whose sum is σ = 372222000000. Its totient is φ = 67846431744.

The previous prime is 164258630629. The next prime is 164258630671. The reversal of 164258630648 is 846036852461.

It is a self number, because there is not a number n which added to its sum of digits gives 164258630648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53871428 + ... + 53874476.

It is an arithmetic number, because the mean of its divisors is an integer number (2907984375).

Almost surely, 2164258630648 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 164258630648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186111000000).

164258630648 is an abundant number, since it is smaller than the sum of its proper divisors (207963369352).

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

164258630648 is a wasteful number, since it uses less digits than its factorization.

164258630648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 164258630648 in words is "one hundred sixty-four billion, two hundred fifty-eight million, six hundred thirty thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 343 392 406 677 686 812 1354 1372 1421 1624 2708 2744 2842 3049 4739 5416 5684 6098 9478 9947 11368 12196 18956 19633 19894 21343 24392 33173 37912 39266 39788 42686 66346 78532 79576 85372 88421 132692 137431 149401 157064 170744 176842 232211 265384 274862 298802 353684 464422 549724 597604 618947 707368 928844 962017 1045807 1099448 1195208 1237894 1857688 1924034 2064173 2091614 2475788 3848068 4128346 4183228 4332629 4951576 6734119 7696136 8256692 8366456 8665258 13468238 14449211 16513384 17330516 26936476 28898422 30328403 34661032 53872952 57796844 59861017 60656806 101144477 115593688 119722034 121313612 202288954 239444068 242627224 404577908 419027119 478888136 708011339 809155816 838054238 1416022678 1676108476 2832045356 2933189833 3352216952 5664090712 5866379666 11732759332 20532328831 23465518664 41064657662 82129315324 164258630648