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3325443506256 = 2432367367122501
BaseRepresentation
bin110000011001000011111…
…000010000000001010000
3102202220112212122100012210
4300121003320100001100
5413441002014200011
611023404311152120
7462153406263114
oct60310370200120
912686485570183
103325443506256
11107234918a8a3
124585b0375640
131b1784a2a051
14b6d4926d744
155b7809ce6a6
hex30643e10050

3325443506256 has 160 divisors (see below), whose sum is σ = 9122898382848. Its totient is φ = 1041606720000.

The previous prime is 3325443506243. The next prime is 3325443506269. The reversal of 3325443506256 is 6526053445233.

It is an interprime number because it is at equal distance from previous prime (3325443506243) and next prime (3325443506269).

It is a super-2 number, since 2×33254435062562 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27085006 + ... + 27207506.

Almost surely, 23325443506256 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 3325443506256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561449191424).

3325443506256 is an abundant number, since it is smaller than the sum of its proper divisors (5797454876592).

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

3325443506256 is a wasteful number, since it uses less digits than its factorization.

3325443506256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122969 (or 122963 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 3325443506256 in words is "three trillion, three hundred twenty-five billion, four hundred forty-three million, five hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 67 69 92 134 138 184 201 268 276 367 368 402 536 552 734 804 1072 1101 1104 1468 1541 1608 2202 2936 3082 3216 4404 4623 5872 6164 8441 8808 9246 12328 16882 17616 18492 24589 24656 25323 33764 36984 49178 50646 67528 73767 73968 98356 101292 122501 135056 147534 196712 202584 245002 295068 367503 393424 405168 490004 565547 590136 735006 980008 1131094 1180272 1470012 1696641 1960016 2262188 2817523 2940024 3393282 4524376 5635046 5880048 6786564 8207567 8452569 9048752 11270092 13573128 16415134 16905138 22540184 24622701 27146256 32830268 33810276 44957867 45080368 49245402 65660536 67620552 89915734 98490804 131321072 134873601 135241104 179831468 188774041 196981608 269747202 359662936 377548082 393963216 539494404 566322123 719325872 755096164 1034030941 1078988808 1132644246 1510192328 2068061882 2157977616 2265288492 3012177089 3020384656 3102092823 4136123764 4530576984 6024354178 6204185646 8272247528 9036531267 9061153968 12048708356 12408371292 16544495056 18073062534 24097416712 24816742584 36146125068 48194833424 49633485168 69280073047 72292250136 138560146094 144584500272 207840219141 277120292188 415680438282 554240584376 831360876564 1108481168752 1662721753128 3325443506256