Search a number
-
+
553202111154 = 23711375113177
BaseRepresentation
bin10000000110011010110…
…10100101001010110010
31221212220121100222120210
420003031122211022302
533030424220024104
61102045413044550
754652602234210
oct10031532451262
91855817328523
10553202111154
111a3680196000
128b26a326756
1340222418214
141cabcd2bcb0
15e5cb691989
hex80cd6a52b2

553202111154 has 128 divisors (see below), whose sum is σ = 1392770801664. Its totient is φ = 143486640000.

The previous prime is 553202111131. The next prime is 553202111173. The reversal of 553202111154 is 451111202355.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41975814 + ... + 41988990.

It is an arithmetic number, because the mean of its divisors is an integer number (10881021888).

Almost surely, 2553202111154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553202111154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696385400832).

553202111154 is an abundant number, since it is smaller than the sum of its proper divisors (839568690510).

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

553202111154 is a wasteful number, since it uses less digits than its factorization.

553202111154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13973 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 553202111154 in words is "five hundred fifty-three billion, two hundred two million, one hundred eleven thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 751 847 1331 1502 1694 2253 2541 2662 3993 4506 5082 5257 7986 8261 9317 10514 13177 15771 16522 18634 24783 26354 27951 31542 39531 49566 55902 57827 79062 90871 92239 115654 144947 173481 181742 184478 272613 276717 289894 346962 434841 545226 553434 636097 869682 999581 1014629 1272194 1594417 1908291 1999162 2029258 2998743 3043887 3188834 3816582 4783251 5997486 6087774 6997067 9566502 9895927 11160919 13994134 17538587 19791854 20991201 22321838 29687781 33482757 35077174 41982402 52615761 59375562 66965514 69271489 105231522 108855197 122770109 138542978 207814467 217710394 245540218 326565591 368310327 415628934 653131182 736620654 761986379 1197407167 1523972758 2285959137 2394814334 3592221501 4571918274 7184443002 8381850169 13171478837 16763700338 25145550507 26342957674 39514436511 50291101014 79028873022 92200351859 184400703718 276601055577 553202111154