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53540770454514 = 23272379531721557
BaseRepresentation
bin11000010110001111011101…
…00110101001101111110010
321000120110002100102221020100
430023013232212221233302
524004202444214021024
6305512142420253230
714164123126615500
oct1413075646515762
9230513070387210
1053540770454514
1116072571131172
126008687841216
1323b4b46c5cc35
14d3155c369670
1562cab945b7c9
hex30b1ee9a9bf2

53540770454514 has 144 divisors (see below), whose sum is σ = 138737253529368. Its totient is φ = 14868294142464.

The previous prime is 53540770454513. The next prime is 53540770454573. The reversal of 53540770454514 is 41545407704535.

53540770454514 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 0 + 7 + 70 + 4 + 54 + 514 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52421582075625 + 1119188378889 = 7240275^2 + 1057917^2 .

It is a super-2 number, since 2×535407704545142 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53540770454513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30239424 + ... + 31960980.

Almost surely, 253540770454514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53540770454514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69368626764684).

53540770454514 is an abundant number, since it is smaller than the sum of its proper divisors (85196483074854).

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

53540770454514 is a wasteful number, since it uses less digits than its factorization.

53540770454514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722569 (or 1722559 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 54.

The spelling of 53540770454514 in words is "fifty-three trillion, five hundred forty billion, seven hundred seventy million, four hundred fifty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 953 1554 1813 1906 2331 2859 3626 4662 5439 5718 6671 8577 10878 13342 16317 17154 20013 32634 35261 40026 46697 60039 70522 93394 105783 120078 140091 211566 246827 280182 317349 420273 493654 634698 740481 840546 1480962 1721557 1727789 2221443 3443114 3455578 4442886 5164671 5183367 10329342 10366734 12050899 15494013 15550101 24101798 30988026 31100202 36152697 63697609 72305394 84356293 108458091 127395218 168712586 191092827 216916182 253068879 382185654 445883263 506137758 573278481 759206637 891766526 1146556962 1337649789 1518413274 1640643821 2675299578 3121182841 3281287642 4012949367 4921931463 6242365682 8025898734 9363548523 9843862926 11484506747 14765794389 18727097046 22969013494 28090645569 29531588778 34453520241 56181291138 60703821377 68907040482 80391547229 103360560723 121407642754 160783094458 182111464131 206721121446 241174641687 364222928262 424926749639 482349283374 546334392393 723523925061 849853499278 1092668784786 1274780248917 1447047850122 2549560497834 2974487247473 3824340746751 5948974494946 7648681493502 8923461742419 17846923484838 26770385227257 53540770454514