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554957440044 = 2237113278920963
BaseRepresentation
bin10000001001101100000…
…10101000010000101100
31222001102221022221010220
420010312002220100230
533043023101040134
61102535515531340
755044235260150
oct10046602502054
91861387287126
10554957440044
111a43a1009637
128b67a159b50
1340441c97577
141cc080d7060
15e680824149
hex81360a842c

554957440044 has 96 divisors (see below), whose sum is σ = 1493589404160. Its totient is φ = 157092246528.

The previous prime is 554957440031. The next prime is 554957440057. The reversal of 554957440044 is 440044759455.

It is an interprime number because it is at equal distance from previous prime (554957440031) and next prime (554957440057).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26462707 + ... + 26483669.

It is an arithmetic number, because the mean of its divisors is an integer number (15558222960).

Almost surely, 2554957440044 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 554957440044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746794702080).

554957440044 is an abundant number, since it is smaller than the sum of its proper divisors (938631964116).

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

554957440044 is a wasteful number, since it uses less digits than its factorization.

554957440044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23879 (or 23877 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 554957440044 in words is "five hundred fifty-four billion, nine hundred fifty-seven million, four hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 2789 3164 4746 5578 8367 9492 11156 16734 19523 20963 33468 39046 41926 58569 62889 78092 83852 117138 125778 146741 234276 251556 293482 315157 440223 586964 630314 880446 945471 1260628 1760892 1890942 2206099 2368819 3781884 4412198 4737638 6618297 7106457 8824396 9475276 13236594 14212914 16581733 26473188 28425828 33163466 49745199 58465807 66326932 99490398 116931614 175397421 198980796 233863228 350794842 409260649 701589684 818521298 1227781947 1637042596 2455563894 4911127788 6606636191 13213272382 19819908573 26426544764 39639817146 46246453337 79279634292 92492906674 138739360011 184985813348 277478720022 554957440044