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97004825190 = 232572131692043
BaseRepresentation
bin101101001010111110…
…0000010101001100110
3100021101102200200211100
41122111330002221212
53042131213401230
6112321410020530
710002604260300
oct1322574025146
9307342620740
1097004825190
1138159770a19
1216972877746
1391bc127560
1449a3352970
1527cb2ea660
hex1695f02a66

97004825190 has 144 divisors (see below), whose sum is σ = 315958760208. Its totient is φ = 20466940032.

The previous prime is 97004825149. The next prime is 97004825191. The reversal of 97004825190 is 9152840079.

97004825190 is a `hidden beast` number, since 97 + 0 + 0 + 48 + 2 + 519 + 0 = 666.

It is a super-2 number, since 2×970048251902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97004825191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 788692 + ... + 903351.

It is an arithmetic number, because the mean of its divisors is an integer number (2194158057).

Almost surely, 297004825190 is an apocalyptic number.

97004825190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97004825190 is an abundant number, since it is smaller than the sum of its proper divisors (218953935018).

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

97004825190 is a wasteful number, since it uses less digits than its factorization.

97004825190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692083 (or 1692073 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 97004825190 in words is "ninety-seven billion, four million, eight hundred twenty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 8190 9555 11466 19110 28665 57330 1692043 3384086 5076129 8460215 10152258 11844301 15228387 16920430 21996559 23688602 25380645 30456774 35532903 43993118 50761290 59221505 65989677 71065806 76141935 82910107 106598709 109982795 118443010 131979354 152283870 153975913 165820214 177664515 197969031 213197418 219965590 248730321 307951826 329948385 355329030 395938062 414550535 461927739 497460642 532993545 659896770 746190963 769879565 829101070 923855478 989845155 1065987090 1077831391 1243651605 1385783217 1492381926 1539759130 1979690310 2155662782 2309638695 2487303210 2771566434 3233494173 3730954815 4619277390 5389156955 6466988346 6928916085 7461909630 9700482519 10778313910 13857832170 16167470865 19400965038 32334941730 48502412595 97004825190