Search a number
-
+
10194224692572 = 22325331743938393
BaseRepresentation
bin1001010001011000011100…
…1001000011110101011100
31100002120002001020220220200
42110112013021003311130
52314010233010130242
633403055010143500
72101336251112314
oct224260711036534
940076061226820
1010194224692572
11328038a092278
121187861281b90
1358c407b0020b
142735901b0444
1512a29636504c
hex94587243d5c

10194224692572 has 144 divisors (see below), whose sum is σ = 26398442790720. Its totient is φ = 3315786200064.

The previous prime is 10194224692549. The next prime is 10194224692573. The reversal of 10194224692572 is 27529642249101.

10194224692572 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 4 + 2 + 2 + 4 + 69 + 2 + 572 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10194224692573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265503808 + ... + 265542200.

It is an arithmetic number, because the mean of its divisors is an integer number (183322519380).

Almost surely, 210194224692572 is an apocalyptic number.

10194224692572 is a gapful number since it is divisible by the number (12) 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 10194224692572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199221395360).

10194224692572 is an abundant number, since it is smaller than the sum of its proper divisors (16204218098148).

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

10194224692572 is a wasteful number, since it uses less digits than its factorization.

10194224692572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39212 (or 39207 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10194224692572 in words is "ten trillion, one hundred ninety-four billion, two hundred twenty-four million, six hundred ninety-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 317 318 439 477 634 636 878 951 954 1268 1317 1756 1902 1908 2634 2853 3804 3951 5268 5706 7902 11412 15804 16801 23267 33602 38393 46534 50403 67204 69801 76786 93068 100806 115179 139163 139602 151209 153572 201612 209403 230358 278326 279204 302418 345537 417489 418806 460716 556652 604836 691074 834978 837612 1252467 1382148 1669956 2034829 2504934 4069658 5009868 6104487 7375639 8139316 12170581 12208974 14751278 16854527 18313461 22126917 24341162 24417948 29502556 33709054 36511743 36626922 44253834 48682324 50563581 66380751 67418108 73023486 73253844 88507668 101127162 109535229 132761502 146046972 151690743 202254324 219070458 265523004 303381486 438140916 606762972 645040793 893289931 1290081586 1786579862 1935122379 2580163172 2679869793 3573159724 3870244758 5342885059 5359739586 5805367137 7740489516 8039609379 10685770118 10719479172 11610734274 16028655177 16079218758 21371540236 23221468548 32057310354 32158437516 48085965531 64114620708 96171931062 192343862124 283172908127 566345816254 849518724381 1132691632508 1699037448762 2548556173143 3398074897524 5097112346286 10194224692572