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60501973428 = 2232131071378819
BaseRepresentation
bin111000010110001100…
…101101100110110100
312210011111010200211200
4320112030231212310
51442402001122203
643443315132500
74241203201041
oct702614554664
9183144120750
1060501973428
1123727872136
12b885ba4130
1359227535a0
142cdd4001c8
15189185a9a3
hexe1632d9b4

60501973428 has 144 divisors (see below), whose sum is σ = 167471478720. Its totient is φ = 18305321472.

The previous prime is 60501973403. The next prime is 60501973439. The reversal of 60501973428 is 82437910506.

60501973428 is a `hidden beast` number, since 6 + 0 + 501 + 97 + 34 + 28 = 666.

60501973428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6856003 + ... + 6864821.

It is an arithmetic number, because the mean of its divisors is an integer number (1162996380).

It is a 1-persistent number, because it is pandigital, but 2⋅60501973428 = 121003946856 is not.

Almost surely, 260501973428 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 60501973428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83735739360).

60501973428 is an abundant number, since it is smaller than the sum of its proper divisors (106969505292).

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

60501973428 is a wasteful number, since it uses less digits than its factorization.

60501973428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9086 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 60501973428 in words is "sixty billion, five hundred one million, nine hundred seventy-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 137 156 214 234 274 321 411 428 468 548 642 822 963 1233 1284 1391 1644 1781 1926 2466 2782 3562 3852 4173 4932 5343 5564 7124 8346 8819 10686 12519 14659 16029 16692 17638 21372 25038 26457 29318 32058 35276 43977 50076 52914 58636 64116 79371 87954 105828 114647 131931 158742 175908 190567 229294 263862 317484 343941 381134 458588 527724 571701 687882 762268 943633 1031823 1143402 1208203 1375764 1715103 1887266 2063646 2286804 2416406 2830899 3430206 3624609 3774532 4127292 4832812 5661798 6860412 7249218 8492697 10873827 11323596 12267229 14498436 15706639 16985394 21747654 24534458 31413278 33970788 36801687 43495308 47119917 49068916 62826556 73603374 94239834 110405061 129277721 141359751 147206748 188479668 220810122 258555442 282719502 387833163 441620244 517110884 565439004 775666326 1163499489 1551332652 1680610373 2326998978 3361220746 4653997956 5041831119 6722441492 10083662238 15125493357 20167324476 30250986714 60501973428