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3148892003488 = 257211191955841
BaseRepresentation
bin101101110100101000100…
…101101101110010100000
3102011000211200211201211211
4231310220211231302200
5403042412323102423
610410325255515504
7443333323255600
oct55645045556240
912130750751754
103148892003488
11100448a498730
1242a339688b94
1319ac2968ba0a
14ac59b466c00
1556d9ae0d10d
hex2dd2896dca0

3148892003488 has 144 divisors (see below), whose sum is σ = 7908315545088. Its totient is φ = 1220416512000.

The previous prime is 3148892003479. The next prime is 3148892003489. The reversal of 3148892003488 is 8843002988413.

It is a happy number.

It is a super-2 number, since 2×31488920034882 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3148892003489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2816448 + ... + 3772288.

It is an arithmetic number, because the mean of its divisors is an integer number (54918857952).

Almost surely, 23148892003488 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 3148892003488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954157772544).

3148892003488 is an abundant number, since it is smaller than the sum of its proper divisors (4759423541600).

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

3148892003488 is a wasteful number, since it uses less digits than its factorization.

3148892003488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956067 (or 956052 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 3148892003488 in words is "three trillion, one hundred forty-eight billion, eight hundred ninety-two million, three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 191 196 224 308 352 382 392 539 616 764 784 1078 1232 1337 1528 1568 2101 2156 2464 2674 3056 4202 4312 5348 6112 8404 8624 9359 10696 14707 16808 17248 18718 21392 29414 33616 37436 42784 58828 67232 74872 102949 117656 149744 205898 235312 299488 411796 470624 823592 955841 1647184 1911682 3294368 3823364 6690887 7646728 10514251 13381774 15293456 21028502 26763548 30586912 42057004 46836209 53527096 73599757 84114008 93672418 107054192 147199514 168228016 182565631 187344836 214108384 294399028 336456032 365131262 374689672 515198299 588798056 730262524 749379344 1030396598 1177596112 1277959417 1460525048 1498758688 2008221941 2060793196 2355192224 2555918834 2921050096 4016443882 4121586392 5111837668 5842100192 8032887764 8243172784 8945715919 10223675336 14057553587 16065775528 16486345568 17891431838 20447350672 28115107174 32131551056 35782863676 40894701344 56230214348 64263102112 71565727352 98402875109 112460428696 143131454704 196805750218 224920857392 286262909408 393611500436 449841714784 787223000872 1574446001744 3148892003488