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56435547480 = 23351393738609
BaseRepresentation
bin110100100011110100…
…100001110101011000
312101200002102212010020
4310203310201311120
51411040000004410
641532013350440
74035345144564
oct644364416530
9171602385106
1056435547480
1121a30439134
12ab30198420
1354251450a0
142a353186a4
151704863a70
hexd23d21d58

56435547480 has 128 divisors (see below), whose sum is σ = 182529547200. Its totient is φ = 13876641792.

The previous prime is 56435547457. The next prime is 56435547481. The reversal of 56435547480 is 8474553465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56435547481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442416 + ... + 1481024.

Almost surely, 256435547480 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 56435547480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91264773600).

56435547480 is an abundant number, since it is smaller than the sum of its proper divisors (126093999720).

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

56435547480 is a wasteful number, since it uses less digits than its factorization.

56435547480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39573 (or 39569 counting only the distinct ones).

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

The spelling of 56435547480 in words is "fifty-six billion, four hundred thirty-five million, five hundred forty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 937 1560 1874 2811 3748 4685 5622 7496 9370 11244 12181 14055 18740 22488 24362 28110 36543 37480 38609 48724 56220 60905 73086 77218 97448 112440 115827 121810 146172 154436 182715 193045 231654 243620 292344 308872 365430 386090 463308 487240 501917 579135 730860 772180 926616 1003834 1158270 1461720 1505751 1544360 2007668 2316540 2509585 3011502 4015336 4633080 5019170 6023004 7528755 10038340 12046008 15057510 20076680 30115020 36176633 60230040 72353266 108529899 144706532 180883165 217059798 289413064 361766330 434119596 470296229 542649495 723532660 868239192 940592458 1085298990 1410888687 1447065320 1881184916 2170597980 2351481145 2821777374 3762369832 4341195960 4702962290 5643554748 7054443435 9405924580 11287109496 14108886870 18811849160 28217773740 56435547480