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553435142320 = 245181175321803
BaseRepresentation
bin10000000110110110100…
…11100001100010110000
31221220111211212012020201
420003123103201202300
533031413344023240
61102124455444544
754661432043314
oct10033323414260
91856454765221
10553435142320
111a378a789845
128b314386754
134025b799098
141cb01c6bb44
15e5e1d72d9a
hex80db4e18b0

553435142320 has 80 divisors (see below), whose sum is σ = 1294643200032. Its totient is φ = 220015319040.

The previous prime is 553435142317. The next prime is 553435142347. The reversal of 553435142320 is 23241534355.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 553435142320.

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, 25372539 + ... + 25394341.

Almost surely, 2553435142320 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 553435142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647321600016).

553435142320 is an abundant number, since it is smaller than the sum of its proper divisors (741208057712).

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

553435142320 is a wasteful number, since it uses less digits than its factorization.

553435142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23750 (or 23744 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

Adding to 553435142320 its reverse (23241534355), we get a palindrome (576676676675).

The spelling of 553435142320 in words is "five hundred fifty-three billion, four hundred thirty-five million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1753 1810 2896 3506 3620 7012 7240 8765 14024 14480 17530 21803 28048 35060 43606 70120 87212 109015 140240 174424 218030 317293 348848 436060 634586 872120 1269172 1586465 1744240 2538344 3172930 3946343 5076688 6345860 7892686 12691720 15785372 19731715 25383440 31570744 38220659 39463430 63141488 76441318 78926860 152882636 157853720 191103295 305765272 315707440 382206590 611530544 764413180 1528826360 3057652720 6917939279 13835878558 27671757116 34589696395 55343514232 69179392790 110687028464 138358785580 276717571160 553435142320