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557533220096 = 2837832113361
BaseRepresentation
bin10000001110011111001…
…00011100110100000000
31222022002110010010010002
420013033210130310000
533113312001020341
61104043251455132
755165123115036
oct10071744346400
91868073103102
10557533220096
111a54a2a71286
12900788b74a8
134076280a388
141cdb0232556
15e781a1d29b
hex81cf91cd00

557533220096 has 144 divisors (see below), whose sum is σ = 1162565291328. Its totient is φ = 266615193600.

The previous prime is 557533220081. The next prime is 557533220159. The reversal of 557533220096 is 690022335755.

It is a super-2 number, since 2×5575332200962 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557533220096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165881456 + ... + 165884816.

Almost surely, 2557533220096 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 557533220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581282645664).

557533220096 is an abundant number, since it is smaller than the sum of its proper divisors (605032071232).

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

557533220096 is a wasteful number, since it uses less digits than its factorization.

557533220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 47.

The spelling of 557533220096 in words is "five hundred fifty-seven billion, five hundred thirty-three million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 83 128 148 166 211 256 296 332 422 592 664 844 1184 1328 1688 2368 2656 3071 3361 3376 4736 5312 6142 6722 6752 7807 9472 10624 12284 13444 13504 15614 17513 21248 24568 26888 27008 31228 35026 49136 53776 54016 62456 70052 98272 107552 124357 124912 140104 196544 215104 248714 249824 278963 280208 393088 430208 497428 499648 557926 560416 647981 709171 786176 860416 994856 999296 1115852 1120832 1295962 1418342 1989712 1998592 2231704 2241664 2591924 2836684 3979424 4463408 4483328 5183848 5673368 7958848 8926816 10321631 10367696 11346736 15917696 17853632 20643262 20735392 22693472 26239327 31835392 35707264 41286524 41470784 45386944 52478654 58861193 71414528 82573048 82941568 90773888 104957308 117722386 165146096 165883136 181547776 209914616 235444772 330292192 419829232 470889544 660584384 839658464 941779088 1321168768 1679316928 1883558176 2177864141 2642337536 3358633856 3767116352 4355728282 6717267712 7534232704 8711456564 15068465408 17422913128 34845826256 69691652512 139383305024 278766610048 557533220096