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60401602152 = 2335233133351
BaseRepresentation
bin111000010000001101…
…110100111001101000
312202220111021022100000
4320100031310321220
51442200302232102
643425331543000
74235544101313
oct702015647150
9182814238300
1060401602152
1123686147771
12b85845aa60
135907a0cab8
142ccdd5397a
151887b3101c
hexe10374e68

60401602152 has 96 divisors (see below), whose sum is σ = 170375849280. Its totient is φ = 20047305600.

The previous prime is 60401602127. The next prime is 60401602153. The reversal of 60401602152 is 25120610406.

60401602152 is a `hidden beast` number, since 6 + 0 + 4 + 0 + 1 + 602 + 1 + 52 = 666.

It is a super-2 number, since 2×604016021522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60401602153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386277 + ... + 519627.

It is an arithmetic number, because the mean of its divisors is an integer number (1774748430).

Almost surely, 260401602152 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 60401602152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85187924640).

60401602152 is an abundant number, since it is smaller than the sum of its proper divisors (109974247128).

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

60401602152 is a wasteful number, since it uses less digits than its factorization.

60401602152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133605 (or 133589 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 60401602152 in words is "sixty billion, four hundred one million, six hundred two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 233 243 324 466 486 648 699 932 972 1398 1864 1944 2097 2796 4194 5592 6291 8388 12582 16776 18873 25164 37746 50328 56619 75492 113238 133351 150984 226476 266702 400053 452952 533404 800106 1066808 1200159 1600212 2400318 3200424 3600477 4800636 7200954 9601272 10801431 14401908 21602862 28803816 31070783 32404293 43205724 62141566 64808586 86411448 93212349 124283132 129617172 186424698 248566264 259234344 279637047 372849396 559274094 745698792 838911141 1118548188 1677822282 2237096376 2516733423 3355644564 5033466846 6711289128 7550200269 10066933692 15100400538 20133867384 30200801076 60401602152