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4411129680496 = 2472112292233601
BaseRepresentation
bin100000000110000101111…
…0100010101001001110000
3120121200220012201102100201
41000030023310111021300
51034232443144233441
613214240041524544
7633456622430200
oct100141364251160
916550805642321
104411129680496
111450827785720
125b2aa64a3754
1325cc77197626
141136dd6cc400
1579b24a0bc31
hex4030bd15270

4411129680496 has 120 divisors (see below), whose sum is σ = 10893098265840. Its totient is φ = 1711116288000.

The previous prime is 4411129680443. The next prime is 4411129680497. The reversal of 4411129680496 is 6940869211144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411129680497) 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, 858096 + ... + 3091696.

It is an arithmetic number, because the mean of its divisors is an integer number (90775818882).

Almost surely, 24411129680496 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 4411129680496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446549132920).

4411129680496 is an abundant number, since it is smaller than the sum of its proper divisors (6481968585344).

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

4411129680496 is a wasteful number, since it uses less digits than its factorization.

4411129680496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233863 (or 2233850 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 4411129680496 in words is "four trillion, four hundred eleven billion, one hundred twenty-nine million, six hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 229 308 392 458 539 616 784 916 1078 1232 1603 1832 2156 2519 3206 3664 4312 5038 6412 8624 10076 11221 12824 17633 20152 22442 25648 35266 40304 44884 70532 89768 123431 141064 179536 246862 282128 493724 987448 1974896 2233601 4467202 8934404 15635207 17868808 24569611 31270414 35737616 49139222 62540828 98278444 109446449 125081656 171987277 196556888 218892898 250163312 343974554 393113776 437785796 511494629 687949108 875571592 1022989258 1203910939 1375898216 1751143184 2045978516 2407821878 2751796432 3580462403 4091957032 4815643756 5626440919 7160924806 8183914064 9631287512 11252881838 14321849612 19262575024 22505763676 25063236821 28643699224 39385086433 45011527352 50126473642 57287398448 78770172866 90023054704 100252947284 157540345732 200505894568 275695605031 315080691464 401011789136 551391210062 630161382928 1102782420124 2205564840248 4411129680496