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188748146804 = 227210727732491
BaseRepresentation
bin1010111111001001000…
…1000010100001110100
3200001012011221022121212
42233302101002201310
511043024011144204
6222413143500552
716431232530200
oct2576221024164
9601164838555
10188748146804
1173058454378
12306b7457758
1314a50183789
1491c79b1b00
154d9a736c6e
hex2bf2442874

188748146804 has 72 divisors (see below), whose sum is σ = 389240383392. Its totient is φ = 79844304960.

The previous prime is 188748146803. The next prime is 188748146827. The reversal of 188748146804 is 408641847881.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188748146801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5792999 + ... + 5825489.

It is an arithmetic number, because the mean of its divisors is an integer number (5406116436).

Almost surely, 2188748146804 is an apocalyptic number.

188748146804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188748146804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194620191696).

188748146804 is an abundant number, since it is smaller than the sum of its proper divisors (200492236588).

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

188748146804 is a wasteful number, since it uses less digits than its factorization.

188748146804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32893 (or 32884 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 59.

The spelling of 188748146804 in words is "one hundred eighty-eight billion, seven hundred forty-eight million, one hundred forty-six thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 277 428 554 749 1108 1498 1939 2996 3878 5243 7756 10486 13573 20972 27146 29639 32491 54292 59278 64982 118556 129964 207473 227437 414946 454874 829892 909748 1452311 1592059 2904622 3184118 3476537 5809244 6368236 6953074 9000007 13906148 18000014 24335759 36000028 48671518 63000049 97343036 126000098 170350313 252000196 340700626 441000343 681401252 882000686 963000749 1764001372 1926001498 3852002996 6741005243 13482010486 26964020972 47187036701 94374073402 188748146804