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188748142704 = 243711490367
BaseRepresentation
bin1010111111001001000…
…1000001100001110000
3200001012011221010000000
42233302101001201300
511043024011031304
6222413143430000
716431232512222
oct2576221014160
9601164833000
10188748142704
1173058451290
12306b7455300
1314a50181954
1491c79b0412
154d9a735939
hex2bf2441870

188748142704 has 160 divisors (see below), whose sum is σ = 598327418880. Its totient is φ = 57196290240.

The previous prime is 188748142703. The next prime is 188748142813. The reversal of 188748142704 is 407241847881.

188748142704 is a `hidden beast` number, since 18 + 87 + 481 + 4 + 2 + 70 + 4 = 666.

It is a super-2 number, since 2×1887481427042 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188748142703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139729 + ... + 630095.

It is an arithmetic number, because the mean of its divisors is an integer number (3739546368).

Almost surely, 2188748142704 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 188748142704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299163709440).

188748142704 is an abundant number, since it is smaller than the sum of its proper divisors (409579276176).

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

188748142704 is an equidigital number, since it uses as much as digits as its factorization.

188748142704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490407 (or 490383 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 188748142704 in words is "one hundred eighty-eight billion, seven hundred forty-eight million, one hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2187 2376 2673 2916 3564 3888 4374 4752 5346 5832 7128 8019 8748 10692 11664 14256 16038 17496 21384 24057 32076 34992 42768 48114 64152 96228 128304 192456 384912 490367 980734 1471101 1961468 2942202 3922936 4413303 5394037 5884404 7845872 8826606 10788074 11768808 13239909 16182111 17653212 21576148 23537616 26479818 32364222 35306424 39719727 43152296 48546333 52959636 64728444 70612848 79439454 86304592 97092666 105919272 119159181 129456888 145638999 158878908 194185332 211838544 238318362 258913776 291277998 317757816 357477543 388370664 436916997 476636724 582555996 635515632 714955086 776741328 873833994 953273448 1072432629 1165111992 1310750991 1429910172 1747667988 1906546896 2144865258 2330223984 2621501982 2859820344 3495335976 3932252973 4289730516 5243003964 5719640688 6990671952 7864505946 8579461032 10486007928 11796758919 15729011892 17158922064 20972015856 23593517838 31458023784 47187035676 62916047568 94374071352 188748142704