Search a number
-
+
554114045952 = 2113237812503
BaseRepresentation
bin10000001000000111100…
…01010101100000000000
31221222021011100001221200
420010003301111200000
533034311143432302
61102320111021200
755014314451225
oct10040361254000
91858234301850
10554114045952
111a3aa8a2a125
128b48380a800
134033932cccc
141cb680b394c
15e63177981c
hex8103c55800

554114045952 has 144 divisors (see below), whose sum is σ = 1643638716720. Its totient is φ = 179712442368.

The previous prime is 554114045941. The next prime is 554114045981. The reversal of 554114045952 is 259540411455.

554114045952 is a `hidden beast` number, since 5 + 5 + 4 + 1 + 140 + 459 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 554114045898 and 554114045907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275733 + ... + 1088235.

It is an arithmetic number, because the mean of its divisors is an integer number (11414157755).

Almost surely, 2554114045952 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 554114045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821819358360).

554114045952 is an abundant number, since it is smaller than the sum of its proper divisors (1089524670768).

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

554114045952 is a wasteful number, since it uses less digits than its factorization.

554114045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812568 (or 812545 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 554114045952 in words is "five hundred fifty-four billion, one hundred fourteen million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2048 2304 2368 2664 3072 3552 4608 4736 5328 6144 7104 9216 9472 10656 14208 18432 18944 21312 28416 37888 42624 56832 75776 85248 113664 170496 227328 340992 681984 812503 1625006 2437509 3250012 4875018 6500024 7312527 9750036 13000048 14625054 19500072 26000096 29250108 30062611 39000144 52000192 58500216 60125222 78000288 90187833 104000384 117000432 120250444 156000576 180375666 208000768 234000864 240500888 270563499 312001152 360751332 416001536 468001728 481001776 541126998 624002304 721502664 832003072 936003456 962003552 1082253996 1248004608 1443005328 1664006144 1872006912 1924007104 2164507992 2496009216 2886010656 3744013824 3848014208 4329015984 4992018432 5772021312 7488027648 7696028416 8658031968 11544042624 14976055296 15392056832 17316063936 23088085248 30784113664 34632127872 46176170496 61568227328 69264255744 92352340992 138528511488 184704681984 277057022976 554114045952