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21007174896 = 24321947163363
BaseRepresentation
bin10011100100001000…
…000000110011110000
32000020000201001110200
4103210020000303300
5321010314044041
613352304355200
71342402016601
oct234410006360
960200631420
1021007174896
118a00003474
1240a3315b00
131c9a257806
141033d7dda8
1582e3b81b6
hex4e4200cf0

21007174896 has 120 divisors (see below), whose sum is σ = 63202264320. Its totient is φ = 6492659328.

The previous prime is 21007174883. The next prime is 21007174963. The reversal of 21007174896 is 69847170012.

It is a happy number.

It is a super-2 number, since 2×210071748962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46911 + ... + 210273.

It is an arithmetic number, because the mean of its divisors is an integer number (526685536).

Almost surely, 221007174896 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 21007174896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31601132160).

21007174896 is an abundant number, since it is smaller than the sum of its proper divisors (42195089424).

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

21007174896 is a wasteful number, since it uses less digits than its factorization.

21007174896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163443 (or 163434 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 21007174896 in words is "twenty-one billion, seven million, one hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 47 48 57 72 76 94 114 141 144 152 171 188 228 282 304 342 376 423 456 564 684 752 846 893 912 1128 1368 1692 1786 2256 2679 2736 3384 3572 5358 6768 7144 8037 10716 14288 16074 21432 32148 42864 64296 128592 163363 326726 490089 653452 980178 1306904 1470267 1960356 2613808 2940534 3103897 3920712 5881068 6207794 7678061 7841424 9311691 11762136 12415588 15356122 18623382 23034183 23524272 24831176 27935073 30712244 37246764 46068366 49662352 55870146 61424488 69102549 74493528 92136732 111740292 122848976 138205098 145883159 148987056 184273464 223480584 276410196 291766318 368546928 437649477 446961168 552820392 583532636 875298954 1105640784 1167065272 1312948431 1750597908 2334130544 2625896862 3501195816 5251793724 7002391632 10503587448 21007174896