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4291270800096 = 253721027188819
BaseRepresentation
bin111110011100100011101…
…010111111001011100000
3120012020112001002102120010
4332130203222333023200
51030302010311100341
613043214350044520
7622014455650200
oct76344352771340
916166461072503
104291270800096
111404a10547875
12593815aa9740
132518852c00a7
1410b9acddc400
157695c12e716
hex3e723abf2e0

4291270800096 has 144 divisors (see below), whose sum is σ = 13105125250560. Its totient is φ = 1225944195840.

The previous prime is 4291270800059. The next prime is 4291270800127. The reversal of 4291270800096 is 6900080721924.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 48270375 + ... + 48359193.

It is an arithmetic number, because the mean of its divisors is an integer number (91007814240).

Almost surely, 24291270800096 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 4291270800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552562625280).

4291270800096 is an abundant number, since it is smaller than the sum of its proper divisors (8813854450464).

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

4291270800096 is a wasteful number, since it uses less digits than its factorization.

4291270800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99117 (or 99102 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 4291270800096 in words is "four trillion, two hundred ninety-one billion, two hundred seventy million, eight hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 10271 20542 30813 41084 61626 71897 82168 88819 123252 143794 164336 177638 215691 246504 266457 287588 328672 355276 431382 493008 503279 532914 575176 621733 710552 862764 986016 1006558 1065828 1150352 1243466 1421104 1509837 1725528 1865199 2013116 2131656 2300704 2486932 2842208 3019674 3451056 3730398 4026232 4263312 4352131 4973864 6039348 6902112 7460796 8052464 8526624 8704262 9947728 12078696 13056393 14921592 16104928 17408524 19895456 24157392 26112786 29843184 34817048 48314784 52225572 59686368 69634096 104451144 139268192 208902288 417804576 912259949 1824519898 2736779847 3649039796 5473559694 6385819643 7298079592 10947119388 12771639286 14596159184 19157458929 21894238776 25543278572 29192318368 38314917858 43788477552 44700737501 51086557144 76629835716 87576955104 89401475002 102173114288 134102212503 153259671432 178802950004 204346228576 268204425006 306519342864 357605900008 536408850012 613038685728 715211800016 1072817700024 1430423600032 2145635400048 4291270800096