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2552458440294 = 2327291663420047
BaseRepresentation
bin100101001001001010011…
…000001110111001100110
3100001000100012212102220200
4211021022120032321212
5313304413330042134
65232325550411330
7352260204523530
oct45111230167146
910030305772820
102552458440294
118a4545279974
12352825200b46
1315690788c859
148b77ab16850
15465de222499
hex2524a60ee66

2552458440294 has 96 divisors (see below), whose sum is σ = 6542264401920. Its totient is φ = 703701383616.

The previous prime is 2552458440251. The next prime is 2552458440319. The reversal of 2552458440294 is 4920448542552.

2552458440294 is a `hidden beast` number, since 2 + 5 + 52 + 4 + 584 + 4 + 0 + 2 + 9 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2552458440294.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5866579 + ... + 6286625.

It is an arithmetic number, because the mean of its divisors is an integer number (68148587520).

Almost surely, 22552458440294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552458440294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271132200960).

2552458440294 is an abundant number, since it is smaller than the sum of its proper divisors (3989805961626).

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

2552458440294 is a wasteful number, since it uses less digits than its factorization.

2552458440294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421754 (or 421751 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 2552458440294 in words is "two trillion, five hundred fifty-two billion, four hundred fifty-eight million, four hundred forty thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1663 1827 3326 3654 4989 9978 11641 14967 23282 29934 34923 48227 69846 96454 104769 144681 209538 289362 337589 420047 434043 675178 840094 868086 1012767 1260141 2025534 2520282 2940329 3038301 3780423 5880658 6076602 7560846 8820987 12181363 17641974 24362726 26462961 36544089 52925922 73088178 85269541 109632267 170539082 219264534 255808623 511617246 698538161 767425869 1397076322 1534851738 2095614483 4191228966 4889767127 6286843449 9779534254 12573686898 14669301381 20257606669 29338602762 40515213338 44007904143 60772820007 88015808286 121545640014 141803246683 182318460021 283606493366 364636920042 425409740049 850819480098 1276229220147 2552458440294