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48965951280 = 24351579411381
BaseRepresentation
bin101101100110100110…
…010001111100110000
311200101112002001110010
4231212212101330300
51300240240420110
634254502134520
73352264501311
oct554646217460
9150345061403
1048965951280
1119848003a34
1295a6721440
134804770a8c
14252727c608
151418bda020
hexb66991f30

48965951280 has 160 divisors (see below), whose sum is σ = 153034365888. Its totient is φ = 12951244800.

The previous prime is 48965951249. The next prime is 48965951303. The reversal of 48965951280 is 8215956984.

It is a happy number.

48965951280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48965951280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35456190 + ... + 35457570.

Almost surely, 248965951280 is an apocalyptic number.

48965951280 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 48965951280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76517182944).

48965951280 is an abundant number, since it is smaller than the sum of its proper divisors (104068414608).

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

48965951280 is a wasteful number, since it uses less digits than its factorization.

48965951280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 48965951280 in words is "forty-eight billion, nine hundred sixty-five million, nine hundred fifty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 941 942 1256 1381 1570 1882 1884 2355 2512 2762 2823 3140 3764 3768 4143 4705 4710 5524 5646 6280 6905 7528 7536 8286 9410 9420 11048 11292 12560 13810 14115 15056 16572 18820 18840 20715 22096 22584 27620 28230 33144 37640 37680 41430 45168 55240 56460 66288 75280 82860 110480 112920 147737 165720 216817 225840 295474 331440 433634 443211 590948 650451 738685 867268 886422 1084085 1181896 1299521 1300902 1477370 1734536 1772844 2168170 2216055 2363792 2599042 2601804 2954740 3252255 3469072 3545688 3898563 4336340 4432110 5198084 5203608 5909480 6497605 6504510 7091376 7797126 8672680 8864220 10396168 10407216 11818960 12995210 13009020 15594252 17345360 17728440 19492815 20792336 25990420 26018040 31188504 35456880 38985630 51980840 52036080 62377008 77971260 103961680 155942520 204024797 311885040 408049594 612074391 816099188 1020123985 1224148782 1632198376 2040247970 2448297564 3060371955 3264396752 4080495940 4896595128 6120743910 8160991880 9793190256 12241487820 16321983760 24482975640 48965951280