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54501413320 = 23529157299261
BaseRepresentation
bin110010110000100010…
…011001000111001000
312012200022000122211201
4302300202121013020
51343104330211240
641012042233544
73636411240514
oct626042310710
9165608018751
1054501413320
1121128699552
12a6904b58b4
1351a751c8c3
1428d04c7144
15163eb61d9a
hexcb08991c8

54501413320 has 64 divisors (see below), whose sum is σ = 127665169200. Its totient is φ = 20914682880.

The previous prime is 54501413297. The next prime is 54501413353. The reversal of 54501413320 is 2331410545.

It can be written as a sum of positive squares in 8 ways, for example, as 15805015524 + 38696397796 = 125718^2 + 196714^2 .

It is a super-3 number, since 3×545014133203 (a number of 33 digits) contains 333 as substring.

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, 32490 + ... + 331750.

Almost surely, 254501413320 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 54501413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63832584600).

54501413320 is an abundant number, since it is smaller than the sum of its proper divisors (73163755880).

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

54501413320 is a wasteful number, since it uses less digits than its factorization.

54501413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299458 (or 299454 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 54501413320 its reverse (2331410545), we get a palindrome (56832823865).

It can be divided in two parts, 5450 and 1413320, that added together give a triangular number (1418770 = T1684).

The spelling of 54501413320 in words is "fifty-four billion, five hundred one million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 157 232 290 314 580 628 785 1160 1256 1570 3140 4553 6280 9106 18212 22765 36424 45530 91060 182120 299261 598522 1197044 1496305 2394088 2992610 5985220 8678569 11970440 17357138 34714276 43392845 46983977 69428552 86785690 93967954 173571380 187935908 234919885 347142760 375871816 469839770 939679540 1362535333 1879359080 2725070666 5450141332 6812676665 10900282664 13625353330 27250706660 54501413320