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48264015280 = 24513438313003
BaseRepresentation
bin101100111100110000…
…100110110110110000
311121120121021000021111
4230330300212312300
51242321041442110
634101105203104
73326012234545
oct547460466660
9147517230244
1048264015280
1119517862038
12942b630494
134722204430
14249bd5cbcc
1513c7283e8a
hexb3cc26db0

48264015280 has 160 divisors (see below), whose sum is σ = 125155489536. Its totient is φ = 17195092992.

The previous prime is 48264015269. The next prime is 48264015287. The reversal of 48264015280 is 8251046284.

It is a happy number.

48264015280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (48264015287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3705259 + ... + 3718261.

Almost surely, 248264015280 is an apocalyptic number.

48264015280 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 48264015280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62577744768).

48264015280 is an abundant number, since it is smaller than the sum of its proper divisors (76891474256).

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

48264015280 is a wasteful number, since it uses less digits than its factorization.

48264015280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13155 (or 13149 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 48264015280 in words is "forty-eight billion, two hundred sixty-four million, fifteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 83 86 104 130 166 172 208 215 260 332 344 415 430 520 559 664 688 830 860 1040 1079 1118 1328 1660 1720 2158 2236 2795 3320 3440 3569 4316 4472 5395 5590 6640 7138 8632 8944 10790 11180 13003 14276 17264 17845 21580 22360 26006 28552 35690 43160 44720 46397 52012 57104 65015 71380 86320 92794 104024 130030 142760 169039 185588 208048 231985 260060 285520 338078 371176 463970 520120 559129 676156 742352 845195 927940 1040240 1079249 1118258 1352312 1690390 1855880 2158498 2236516 2704624 2795645 3380780 3711760 4316996 4473032 5396245 5591290 6761560 7268677 8633992 8946064 10792490 11182580 13523120 14030237 14537354 17267984 21584980 22365160 28060474 29074708 36343385 43169960 44730320 46407707 56120948 58149416 70151185 72686770 86339920 92815414 112241896 116298832 140302370 145373540 185630828 224483792 232038535 280604740 290747080 371261656 464077070 561209480 581494160 603300191 742523312 928154140 1122418960 1206600382 1856308280 2413200764 3016500955 3712616560 4826401528 6033001910 9652803056 12066003820 24132007640 48264015280