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55954907424 = 25321367223063
BaseRepresentation
bin110100000111001011…
…000010000100100000
312100102121000210220200
4310013023002010200
51404043424014144
641412203505200
74020420602613
oct640713020440
9170377023820
1055954907424
11218040a5149
12aa17228200
1353796aaca0
1429cb56217a
1516c7571c69
hexd072c2120

55954907424 has 144 divisors (see below), whose sum is σ = 173920324032. Its totient is φ = 16959849984.

The previous prime is 55954907419. The next prime is 55954907429. The reversal of 55954907424 is 42470945955.

It is a happy number.

55954907424 is a `hidden beast` number, since 5 + 5 + 9 + 549 + 0 + 74 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (55954907419) and next prime (55954907429).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (55954907429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139317 + ... + 362379.

It is an arithmetic number, because the mean of its divisors is an integer number (1207780028).

Almost surely, 255954907424 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 55954907424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86960162016).

55954907424 is an abundant number, since it is smaller than the sum of its proper divisors (117965416608).

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

55954907424 is a wasteful number, since it uses less digits than its factorization.

55954907424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223159 (or 223148 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 55954907424 in words is "fifty-five billion, nine hundred fifty-four million, nine hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 234 268 288 312 402 416 468 536 603 624 804 871 936 1072 1206 1248 1608 1742 1872 2144 2412 2613 3216 3484 3744 4824 5226 6432 6968 7839 9648 10452 13936 15678 19296 20904 27872 31356 41808 62712 83616 125424 223063 250848 446126 669189 892252 1338378 1784504 2007567 2676756 2899819 3569008 4015134 5353512 5799638 7138016 8030268 8699457 10707024 11599276 14945221 16060536 17398914 21414048 23198552 26098371 29890442 32121072 34797828 44835663 46397104 52196742 59780884 64242144 69595656 89671326 92794208 104393484 119561768 134506989 139191312 179342652 194287873 208786968 239123536 269013978 278382624 358685304 388575746 417573936 478247072 538027956 582863619 717370608 777151492 835147872 1076055912 1165727238 1434741216 1554302984 1748590857 2152111824 2331454476 3108605968 3497181714 4304223648 4662908952 6217211936 6994363428 9325817904 13988726856 18651635808 27977453712 55954907424