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488998038400 = 2752372111623
BaseRepresentation
bin1110001110110101000…
…11011110101110000000
31201202012010002011012021
413013122203132232000
531002431444212100
61012350445011224
750220553513504
oct7073243365600
91652163064167
10488998038400
1117942370a953
127a930553b14
133715c9b7621
141994bda2304
15cabed07a1a
hex71da8deb80

488998038400 has 144 divisors (see below), whose sum is σ = 1241519522040. Its totient is φ = 190311045120.

The previous prime is 488998038391. The next prime is 488998038409. The reversal of 488998038400 is 4830899884.

It is an interprime number because it is at equal distance from previous prime (488998038391) and next prime (488998038409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488998038409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4324989 + ... + 4436611.

Almost surely, 2488998038400 is an apocalyptic number.

488998038400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488998038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620759761020).

488998038400 is an abundant number, since it is smaller than the sum of its proper divisors (752521483640).

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

488998038400 is a wasteful number, since it uses less digits than its factorization.

488998038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111721 (or 111667 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 61.

The spelling of 488998038400 in words is "four hundred eighty-eight billion, nine hundred ninety-eight million, thirty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 128 148 160 185 200 296 320 370 400 592 640 740 800 925 1184 1369 1480 1600 1850 2368 2738 2960 3200 3700 4736 5476 5920 6845 7400 10952 11840 13690 14800 21904 23680 27380 29600 34225 43808 54760 59200 68450 87616 109520 111623 118400 136900 175232 219040 223246 273800 438080 446492 547600 558115 876160 892984 1095200 1116230 1785968 2190400 2232460 2790575 3571936 4130051 4380800 4464920 5581150 7143872 8260102 8929840 11162300 14287744 16520204 17859680 20650255 22324600 33040408 35719360 41300510 44649200 66080816 71438720 82601020 89298400 103251275 132161632 152811887 165202040 178596800 206502550 264323264 305623774 330404080 357193600 413005100 528646528 611247548 660808160 764059435 826010200 1222495096 1321616320 1528118870 1652020400 2444990192 2643232640 3056237740 3304040800 3820297175 4889980384 6112475480 6608081600 7640594350 9779960768 12224950960 13216163200 15281188700 19559921536 24449901920 30562377400 48899803840 61124754800 97799607680 122249509600 244499019200 488998038400