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18890149696 = 2611131257797
BaseRepresentation
bin10001100101111100…
…001100111101000000
31210202111011000211221
4101211330030331000
5302141334242241
612402241244424
71236054423505
oct214574147500
953674130757
1018890149696
118013aa7070
1237b2333714
131a20788592
14cb2b414ac
157585db5d1
hex465f0cf40

18890149696 has 112 divisors (see below), whose sum is σ = 41417272512. Its totient is φ = 8477081600.

The previous prime is 18890149693. The next prime is 18890149699. The reversal of 18890149696 is 69694109881.

It is an interprime number because it is at equal distance from previous prime (18890149693) and next prime (18890149699).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18890149693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23701170 + ... + 23701966.

It is an arithmetic number, because the mean of its divisors is an integer number (369797076).

Almost surely, 218890149696 is an apocalyptic number.

18890149696 is a gapful number since it is divisible by the number (16) 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 18890149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708636256).

18890149696 is an abundant number, since it is smaller than the sum of its proper divisors (22527122816).

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

18890149696 is a wasteful number, since it uses less digits than its factorization.

18890149696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 61.

The spelling of 18890149696 in words is "eighteen billion, eight hundred ninety million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 131 176 257 262 352 514 524 704 797 1028 1048 1441 1594 2056 2096 2827 2882 3188 4112 4192 5654 5764 6376 8224 8384 8767 11308 11528 12752 16448 17534 22616 23056 25504 33667 35068 45232 46112 51008 67334 70136 90464 92224 104407 134668 140272 180928 204829 208814 269336 280544 370337 409658 417628 538672 561088 740674 819316 835256 1077344 1148477 1481348 1638632 1670512 2154688 2253119 2296954 2962696 3277264 3341024 4506238 4593908 5925392 6554528 6682048 9012476 9187816 11850784 13109056 18024952 18375632 23701568 26832599 36049904 36751264 53665198 72099808 73502528 107330396 144199616 214660792 295158589 429321584 590317178 858643168 1180634356 1717286336 2361268712 4722537424 9445074848 18890149696