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2054457437504 = 26192939476089
BaseRepresentation
bin11101111001010111001…
…101001010110101000000
321021101220200010022022212
4131321113031022311000
5232130012101000004
64211445452521252
7301300241041313
oct35712715126500
97241820108285
102054457437504
1172232173368a
12292201780228
1311b971927884
14716171aa97a
1538693d5496e
hex1de5734ad40

2054457437504 has 112 divisors (see below), whose sum is σ = 4311284443200. Its totient is φ = 968659439616.

The previous prime is 2054457437423. The next prime is 2054457437521. The reversal of 2054457437504 is 4057347544502.

It is a super-3 number, since 3×20544574375043 (a number of 38 digits) contains 333 as substring.

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, 337401692 + ... + 337407780.

It is an arithmetic number, because the mean of its divisors is an integer number (38493611100).

Almost surely, 22054457437504 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 2054457437504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155642221600).

2054457437504 is an abundant number, since it is smaller than the sum of its proper divisors (2256827005696).

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

2054457437504 is a wasteful number, since it uses less digits than its factorization.

2054457437504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 50.

The spelling of 2054457437504 in words is "two trillion, fifty-four billion, four hundred fifty-seven million, four hundred thirty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 293 304 586 608 947 1172 1216 1894 2344 3788 4688 5567 6089 7576 9376 11134 12178 15152 17993 18752 22268 24356 30304 35986 44536 48712 60608 71972 89072 97424 115691 143944 178144 194848 231382 277471 287888 356288 389696 462764 554942 575776 925528 1109884 1151552 1784077 1851056 2219768 3568154 3702112 4439536 5271949 5766283 7136308 7404224 8879072 10543898 11532566 14272616 17758144 21087796 23065132 28545232 33897463 42175592 46130264 57090464 67794926 84351184 92260528 109559377 114180928 135589852 168702368 184521056 219118754 271179704 337404736 369042112 438237508 542359408 876475016 1084718816 1689520919 1752950032 2169437632 3379041838 3505900064 6758083676 7011800128 13516167352 27032334704 32100897461 54064669408 64201794922 108129338816 128403589844 256807179688 513614359376 1027228718752 2054457437504